Soal Dan Pembahasan Garis Garis Sejajar Kelas VII SMP

Latihan Soal Kelas VII : Garis-Garis Sejajar

1. i!a "a#a! "a#a! $%a &%ah ga#is ga#is 'a$a 'a$a s%at% &ang%n &ang%n $ata# $ata# selal% selal% sa(a) (a!a (a!a !e$%$%!an !e$%$%!an !e$%a ga#is ga#is it% a$alah*. A. Be#hi('it B. Se"a"a# C. Be#'otongan D. +ega! l%#%s a,a&an : B -e(&ahasan: Sifat $a#i $%a ga#is ang se"a"a# a$alah: • +i$a! (e(ili!i titi! 'otong • a#a! anta# !e$%ana selal% sa(a. l 2. -e#hat -e#hati!a i!an n ga(&a# ga(&a# $i $i sa('i sa('ing/ ng/ i!a i!a g 0 0 h ) A B (a!a ∠B = *. A. C D ∠H B. ∠D E F C. G H ∠G D. ∠A a,a&an : C -e(&ahasan: -e#hati!an &ah,a: • ∠B $an ∠C s%$%t &e#tola! &ela!ang) (a!a ∠B = ∠C • ∠B $an ∠F s%$%t seha$a') (a!a ∠B = ∠F • ∠B $an ∠G s%$%t l%a# &e#se&e#angan) (a!a ∠B = ∠G a$i ∠B = ∠C = ∠G = ∠F.

3. -e#hat -e#hati!a i!an n ga(&a# ga(&a# $i $i sa('i sa('ing/ ng/ i!a i!a g 0 0 h ) ga#is g $an h Di'otong oleh ga#is f $i titi! A $an B) (a!a s%$%t l%a# &e#se&e#angan $engan ∠A1 a$alah *. A.

∠A 3

B.

∠A 4

C.

∠B1

D.

∠B3

g

h

g

f

h

1 4 A

1

2 3

2 4 B

3

a,a&an : D -e(&ahasan: -e#hati!an &ah,a: ∠A 3 $an ∠A1 s%$%t &e#tola! &ela!ang. • •

∠A 4 $an ∠A1 s%$%t

•

∠B1 $an ∠A1 s%$%t

l%a# seha$a'

•

∠B3 $an ∠A1 s%$%t

l%a# &e#se&e#angan

&e#'el%#%s

1


g 4. -e#hati!an ga(&a# $i sa('ing/ Ga#is g &e#'otongan $engan ga#is AB $i titi! A. O i!a $i&%at ga#is h ang (e(&ent%! s%$%t o $engan 12 B A ga#is AB ang $i%!%# sea#ah "a#%( "a() (a!a !e$%$%!an ga#is h te#ha$a' ga#is g a$alah *. A. Be#'otongan B. Be#'el%#%s C. Se"a"a# D. Be#hi('it a,a&an : C -e(&ahasan: -e#hati!an ga(&a# &e#i!%t/  = 1o − o = 12o 5&e#'el%#%s6 h g Ka#ena s%$%t ga#is g $an h sa(a te#ha$a' ga#is AB) (a!a g se"a"a# h O O A

12





B

7. -e#hati!an ga(&a# $i sa('ing/ A i!a selisih ∠BAC $an ∠ACD a$alah 4o) (a!a &esa# ∠ACD = *. A. 7o B. o C C. 7o D. 8o a,a&an : D -e(&ahasan: 9isal ∠BAC =  $an ∠ACD = . -e#hati!an &ah,a: ∠BAC > ∠ACD ⇒  −  = 4 ⇒  = 4 +  • ∠BAC $an ∠ACD &e#'el%#%s ⇒  +  = 1 • (a!a  +  = 1 54 + 6 +  = 1 4 + 2 = 1 1 − 4 o = = 8 2

B

D

2


F . -e#hati!an ga(&a# $i sa('ing/ A i!a CB 00 DE) (a!a ∠AED = *. 11  A. 3o B. o C.  8o D E D. o  a,a&an : A C B -e(&ahasan : -e#hati!an ga(&a# &e#i!%t/ F AG 00 DE 00 CB A • ∠GAF $an ∠ADE seha$a') (a!a G O

O

o

∠GAF = ∠ADE = 

o

o

3o Ka#ena ∠AED $an ∠GAE &e#se&e#angan) (a!a o ∠AED = ∠GAE = 3 • ∠GAE = ∠FAE − ∠GAF = 11 −  =

D



O

E B

C

l

8. -e#hati!an ga(&a# $i sa('ing/ i!a g 00 h) o o o ∠A 2 = 4 ) ∠A 3 = 7 $an ∠B3 = ' ) (a!a nilai '  *. A. 11 B. 11)7 C. 12 D. 12)7 a,a&an: D -e(&ahasan: -e#hati!an &ah,a ∠A 2 + ∠A 3 = 1

A

1

2

4 B 1 4

∠A 2 $an ∠A 3 &e#'el%#%s)

3 2

g

h

3

(a!a

o

4 + 7 = 1o ⇒  = 2o Ka#ena ∠A 3 $an ∠B3 seha$a') (a!a ∠B3 = ∠A 3

' = 7 ⇒ ' = 7 × 2 ⇒ ' = 12)7o A

. -e#hati!an ga(&a# $i sa('ing/ o Di!etah%i CB 00 DE. i!a ∠ABC = 87 ) $an ∠BAC = A. B. C. D.

147o 11o 1o 12o

47o ) (a!a

∠CDE = *.

D

C

E B

3


a,a&an: D -e(&ahasan: -e#hati!an ga(&a# &e#i!%t/ HI 00 BC 00 DE A • ∠IAE $an ∠ABC &e#se&e#angan) (a!a H I o ∠IAE = ∠ABC = 87 o o o • ∠IAD = ∠IAE + ∠BAC = 87 + 47 = 12 o D E ∠CDE $an ∠IAD seha$a') (a!a ∠CDE = ∠IAD = 12 B

C

;. -e#hati!an ga(&a# $i sa('ing/ o Di!etah%i CB 00 DE. i!a ∠ABC = 87 ) (a!a ∠BED = *. A. 11o B. 17o C. 1o D. 12o a,a&an: B -e#hati!an &ah,a: • ∠B $an ∠AED s%$%t seha$a') (a!a • ∠BED $an ∠AED &e#'el%#%s) (a!a

A

D

E B

C

∠AED = ∠B =

87o

o

∠BED + ∠AED = 1 o

o

o

∠BED + 87 = 1 ⇒ ∠BED = 17

F

1. -e#hati!an ga(&a# $i sa('ing/ A 12 i!a CB 00 DE) (a!a ∠EBC = *. A. o  B. 7o 47 C. D E 8o D. o 87 C B a,a&an : D -e(&ahasan : -e#hati!an ga(&a# &e#i!%t/ F AG 00 DE 00 CB A • ∠GAF $an ∠ADE seha$a') (a!a G O

O

o

∠GAF = ∠ADE =

47o

o

87o Ka#ena ∠AED $an ∠GAE &e#se&e#angan) (a!a o ∠AED = ∠GAE = 87 Ka#ena ∠EBC = ∠AED = 87o • ∠GAE = ∠FAE − ∠GAF = 12 − 47 =

D C

E B

4


11. -a$a ga(&a# $i sa('ing 'an"ang) AB 00 CD) o AC 00 BD $an ∠D 2 = 7 ) (a!a

A 1 3

4

∠C1 + ∠B3 + ∠A 2 = ....

C 1 2 13o B. o 3 4 37 C. o 31 D. 3o a,a&an: C -e(&ahasan: -e#hati!an &ah,a: ∠D1 $an ∠D 2 s%$%t &e#'el%#%s) (a!a •

D 1

o

2

2

4

o

1 3

4

A.

o

B

2

3

o

∠D1 + ∠D 2 = 1 ⇒ ∠D1 + 7 = 1 ⇒ ∠D1 = 13

•

∠C1 $an ∠D1 s%$%t

seha$a') (a!a

∠D1 $an ∠B3 s%$%t

$ala( &e#se&e#angan) (a!a

∠B3 = ∠D1 = 13 •

∠A 2 $an ∠D 2

o

o

o

o

o

o

∠C1 + ∠B3 + ∠A 2 = 13 + 13 + 7 = 31

g

12. -a$a ga(&a# $i sa('ing) g 00 h) (a!a nilai   *. A. 24o B. 27o C. 2o D. 28o a,a&an : C -e(&ahasan: -e#hati!an &ah,a: 3 = 1o − 12o 5s%$%t &e#'el%#%s6 =

o

s%$%t seha$a') (a!a

∠A 2 = ∠D 2 = 7

Sehingga

∠C1 = ∠D1 = 13

1o − 12o 3

=

h

3. 12

<

2o

13. -e#hati!an ga(&a# $i sa('ing/ i!a AB 00 DC) (a!a ∠KL9 = .... A. 3o B. 4o C. 8o D. 1o

A K B

14

L

D <

17

<

9

C

7


a,a&an : C -e(&ahasan: -e#hati!an ga(&a# &e#i!%t/ AB 00
K

14

B L

<

17

∠D9L $an ∠C9L &e#'el%#%s

•

<

A

D <

∠
o

3o

(a!a

o

∠
∠AKL $an ∠BKL &e#'el%#%s

•

C

o

∠D9L + ∠C9L = 1 ⇒ ∠C9L = 1 − 17 = •

9

(a!a

o

(a!a

o

o

o

∠BKL + ∠AKL = 1 ⇒ ∠BKL = 1 − 14 = ∠KL< $an ∠BKL &e#se&e#angan

•

∠KL< = ∠BKL =

4o

(a!a

o

4 9a!a ∠KL9 = ∠KL< + ∠
o

14. -e#hati!an ga(&a# $i sa('ing/ A D i!a AB 00 DC) (a!a   *. A. L 2o 3 = K B. o 3  9 C. 4o B D. C 7o a,a&an: A -e(&ahasan: -e#hati!an &ah,a ∠C9= $an ∠BL9 seha$a') (a!a ∠C9= = ∠BL9 =   • o ∠C9= $an ∠D9= &e#'el%#%s) (a!a ∠C9= + ∠D9= = 1 • Sehingga o o o ∠C9= + ∠D9= = 1 ⇒  + 3 = 1 ⇒  = 2 A 17. -ehati!an ga(&a# $i sa('ing/ D i!a AB 00 DC) (a!a  >   *. L 3 A. 2. = 2o K B.  9 3o C. B 4o C D. o 7 a,a&an: D -e(&ahasan: -e(&ahasan: -e#hati!an &ah,a ∠C9= $an ∠BL9 seha$a') (a!a ∠C9= = ∠BL9 =  • o ∠C9= $an ∠D9= &e#'el%#%s) (a!a ∠C9= + ∠D9= = 1 • o

 + 3 = 1o ⇒  = 2o ∠AL9 $an ∠D9= seha$a') (a!a 2 = 3 ∠C9= + ∠D9= = 1 ⇒

•

 = 2o

⇒

2 = o

⇒

 = 3o




o o o a$i  +  = 2 + 3 = 7 1. -e#hati!an ABC $i sa('ing/ i!a 9C 00 LB) (a!a ∠9CL = *. A. 1o B. 147o C. 127o D. 13o a,a&an: C -e(&ahasan: -e#hati!an segitiga &e#i!%t/ AB 00
<

•

A

•

A

L 9

7 77

C

<

<

B

(a!a ∠9C< = ∠LBA = 7o o ∠9C< $an ∠
o

o

o

∠9C< + ∠
87o a$i ∠9CL = ∠9C< + ∠
L

•

9

7 77

C

<

<

o

B

18. -e#hati!an ga(&a# $i sa('ing/ A i!a AB 00 DC) (a!a ∠KL9 = *. A. o K B. 4o C. 77o < 3 D. o B 7 L a,a&an : C -e(&ahasan: AB 00
3

9 <

27 L

9a!a

D 9 27

<

C

∠C9L &e#se&e#angan

(a!a

27o ∠KL< $an ∠BKL &e#se&e#angan (a!a • o ∠KL< = ∠BKL = 3 ∠
K B

o

∠
<

C o

o

∠KL9 = ∠KL< + ∠
77o

A 1. -e#hati!an ga(&a# $i sa('ing/ D i!a AB 00 DC) (a!a nilai   *. 9 A. = 2o K < < B. o L 3>4 24 2>3 C. o 28 B C D. 22o a,a&an : D -e#hati!an &ah,a ∠C9= $an ∠BL9 seha$a') (a!a ∠BL9 = ∠C9= = 3 + 4 •

8


∠BL9 $an ∠KLB &e#'el%#%s)

•

Sehingga o ∠KLB + ∠BL9 = 1

⇒

(a!a

o

∠KLB + ∠BL9 = 1

2 + 3 + 3 + 4 = 1o

⇒

 = 22o

A 1;. -e#hati!an ga(&a# $i sa('ing/ Besa# ∠CBD = *. A. o B. 4o D C. o 77 D. < 7o 7 B C a,a&an : B -e(&ahasan: -e#hati!an ga(&a# &e#i!%t/ A CD 00 BE ∠BDC $an ∠DBE &e#se&e#angan) (a!a • o

∠DBE = ∠BDC = ; •

D E C

7

∠FBE = ∠BCD = 7

7o + ;o = 14o Ka#ena ∠FBD $an ∠CBD &e#'el%#%s) (a!a o o ∠FBD + ∠CBD = 1 ⇒ ∠CBD = 4 •

F G

∠FBD = ∠FBE + ∠DBE =

2. -e#hati!an ga(&a# $i sa('ing/ i!a CD 00 BE) (a!a ∠ACD = *. A. 1o B. 137o C. 12o D. 117o a,a&an : D -e(&ahasan: -e#hati!an ga(&a# &e#i!%t/ A CD 00 BE •

•

B

C

177 D

F

<

(a!a

o

<

B

∠BCD $an ∠FBE seha$a')

A

B

C

177

<

E

D

∠CBE $an ∠EBF &e#'el%#%s)

(a!a o o ∠CBE + ∠FBE = 1 ⇒ ∠FBE = 27 ∠BCD $an ∠EBF seha$a') (a!a o ∠BCD = ∠FBE = 27

9a!a o ∠ACD = ∠ACB + ∠BCD = ;

o

o

+ 27 = 117

E




21. -e#hati!an ga(&a# $i sa('ing/ i!a g 0 0 h ) (a!a 'asangan s%$%t l%a# &e#se&e#angan a$alah *. A. ∠H $an ∠D B. ∠D $an ∠E C. ∠G $an ∠F D. ∠A $an ∠H a,a&an : D -e(&ahasan: -e#hati!an &ah,a: • ∠H $an ∠D s%$%t seha$a' • ∠D $an ∠E s%$%t $ala( &e#se&e#angan ∠G $an ∠F s%$%t &e#tola! &ela!ang • • ∠A $an ∠H s%$%t l%a# &e#se&e#angan

l

A C E G

22. -e#hati!an ga(&a# $i sa('ing/ i!a g 0 0 h ) ga#is g $an h Di'otong oleh ga#is f $i titi! A $an B) (a!a s%$%t &e#'el%#%s $engan ∠A 3 a$alah *. A.

∠B4

B.

∠A1

C.

∠B1

D.

∠B3

a,a&an : A -e(&ahasan: -e#hati!an &ah,a: ∠B4 $an ∠A 3 •

= ∠B3 s%$%t

B

g

D F

h

H

g

h

1

f

4 A

1

2 3

2 4 B

3

&e#'el%#%s

•

∠A1 $an ∠A 3 s%$%t

&e#tola! &ela!ang

•

∠B1 $an ∠A 3 s%$%t

$ala( &e#se&e#angan

•

∠B3 $an ∠A1 s%$%t

l%a# &e#se&e#angan

23. -e#hati!an ga(&a# $i sa('ing/ A i!a selisih ∠ABD $an ∠BDC a$alah 7o) (a!a &esa# ∠ABD = *. A. 7o B. o C C. 7o D. 87o a,a&an : C 9isal ∠ABD =  $an ∠BDC = . -e#hati!an &ah,a: ∠BDC > ∠ABD ⇒  −  = 7 ⇒  = 7 +  • • ∠ABD $an ∠BDC &e#'el%#%s ⇒  +  = 1

B

D

;


(a!a  +  = 1  + 5 + 76 = 1 2 + 7 = 1 1 − 7 o = = 7 2 A 24. -e#hati!an ga(&a# $i sa('ing/ i!a CB 00 DE) (a!a ∠ACB = *. A. 3o B.  o D E C. o 8 D. o C B a,a&an : D -e(&ahasan : Ka#ena ∠ACB $an ∠ADE seha$a') (a!a ∠ACB = ∠ADE = o O

l

27. -e#hati!an ga(&a# $i sa('ing/ i!a g 00 h) o o o ∠A 2 = 4 ) ∠A 3 = 7' $an ∠B2 = ' ) (a!a nilai   *. A. 3 B. 3)7 C. 8)7 D. 12)7 a,a&an: C -e(&ahasan: -e#hati!an &ah,a ∠A 3 $an ∠B2 &e#'el%#%s) (a!a ∠A 3 + ∠B2 = 1

7' + ' = 1o Ka#ena

⇒

A

1

2

4 B 1 4

3 2

g

h

3

o

' = 3o

∠A 2 $an ∠B2

seha$a') (a!a

∠A 2 = ∠B 2

4 = ' ⇒ 4 = 3 ⇒  = 8)7o A

2. -e#hati!an ga(&a# $i sa('ing/ o Di!etah%i CB 00 DE. i!a ∠BCD = 87 ) $an ∠AED = A. B. C. D.

47o o 8o o

47o ) (a!a

∠BAC = *.

D

C

E B

1


a,a&an: B -e(&ahasan: -e#hati!an ga(&a# &e#i!%t/ A

H

HI 00 BC 00 DE • ∠IAE $an

I

∠AED &e#se&e#angan)

∠IAE = ∠AED =

D

•

E

(a!a

o

47 ∠DAH $an ∠BCD &e#se&e#angan) (a!a 87o o ∠IAE + ∠BAC + ∠DAH = 1 47o + ∠BAC + 87o = 1o o ∠BAC =  ∠DAH = ∠BCD =

•

B

C

A 28. -e#hati!an ga(&a# $i sa('ing/ o Di!etah%i CB 00 DE. i!a ∠BAC = 37 $an o ∠ABC = 87 ) (a!a ∠BCD = *. A. D E 47o B. o  C. 8o B C D. o a,a&an: C -e#hati!an ga(&a# &e#i!%t/ HI 00 BC 00 DE A • ∠IAE $an ∠ABC s%$%t &e#se&e#angan) (a!a H I

87o o • ∠IAE + ∠BAC + ∠DAH = 1 87o + 37o + ∠DAH = 1o o ∠DAH = 8 ∠BCD $an ∠DAH &e#se&e#angan) (a!a ∠IAE = ∠ABC =

D

C

E B

2. -e#hati!an ga(&a# $i sa('ing/ i!a CB 00 DE) (a!a ∠BCD = *. A. 4o B. 47o C. 7o D. 77o a,a&an : A

∠BCD = ∠DAH =

8o

F A

D C

8

11 

O

O

E B

11


-e(&ahasan : -e#hati!an ga(&a# &e#i!%t/ F

A

AG 00 DE 00 CB • ∠EAG $an ∠AED &e#se&e#angan) (a!a

G

o

∠EAG = ∠AED =

8o

o

4o Ka#ena ∠BCD $an ∠GAF seha$a') (a!a ∠BCD = ∠GAF = 4o • ∠GAF = ∠FAE − ∠EAG = 11 − 8 =

8

D

O

E B

C

2;. -a$a ga(&a# $i sa('ing 'an"ang) AB 00 CD) o AC 00 BD $an ∠D3 = 17 ) (a!a

A 1 4

∠A1 + ∠B 2 − ∠C 3 = ....

C 1 2 3o B. 3 4 o C. o 8 D. o a,a&an: A -e(&ahasan: -e#hati!an &ah,a: ∠A1 $an ∠D3 s%$%t &e#tola! &ela!ang) (a!a •

B

2 3 D 1 4

2 3

4

A.

1

2 3

o

∠A1 = ∠D 3 = 17 •

∠B2 $an ∠D3 s%$%t

&e#'el%#%s) (a!a

o

o

∠B2 + ∠D3 = 1 ⇒ ∠B2 = 3 •

∠C3 $an ∠D3 s%$%t ∠C3 = ∠D 3 = 17

Sehingga

seha$a') (a!a

o

o

o

o

∠A1 + ∠B2 − ∠C3 = 17 + 3 − 17 = 3

3. -a$a ga(&a# $i sa('ing) g 00 h) (a!a nilai   *. A. 3o B. 4o C. 7o D. o a,a&an : B -e(&ahasan: 3 = 12o 5s%$%t &e#tola! &ela!ang6  = 4o

o

3 12

<

12


31. -e#hati!an ga(&a# $i sa('ing/ i!a AB 00 DC) ∠LK9 = 8o $an (a!a ∠KL9 = .... A. 3o B. 4o C. o D. 8o a,a&an : C -e(&ahasan: -e#hati!an ga(&a# &e#i!%t/ BC 00 K9 D

K 9 B L =

C

D

o

∠K9L = 7

K

9

B

C

L

∠BLK $an ∠LK9 &e#se&e#angan

•

A

A

(a!a

8o ∠BL= $an ∠K9L &e#se&e#angan (a!a • o ∠BL= = ∠K9L = 7 o o o • ∠ =LK = ∠=LB + ∠BLK = 7 + 8 = 12 Ka#ena ∠ =LK $an ∠KL9 &e#'el%#%s (a!a o o ∠ =LK + ∠KL9 = 1 ⇒ ∠KL9 =  ∠BLK = ∠LK9 =

32. -e#hati!an ga(&a# $i sa('ing/ A D i!a AB 00 DC) (a!a ∠ALK  *. A. o 3 L 2 B. = 4o K 4 C. o 9 8 D. B 12o C a,a&an: D -e(&ahasan: -e#hati!an &ah,a ∠C9= $an ∠BL9 seha$a') (a!a ∠C9= = ∠BL9 = 4 • o ∠C9= $an ∠D9= &e#'el%#%s) (a!a ∠C9= + ∠D9= = 1 • o

4 + 2 = 1o ⇒  = 3o Ka#ena ∠ALK $an ∠BL9 &e#tola! &ela!ang) (a!a o ∠ALK = ∠BL9 = 4 = 12 ∠C9= + ∠D9= = 1 ⇒

33. -ehati!an ga(&a# $i sa('ing/ i!a AB 00 DC) (a!a  + 2 = *. A. 2o B. 3o C. 4o D. 7o a,a&an: C -e(&ahasan:

A L

K

4. B

D

2

=

8

9 C

13


-e#hati!an &ah,a • ∠AL9 $an ∠BL9 &e#'el%#%s ) (a!a o o o ∠AL9 + ∠BL9 = 1 ⇒ 2 + 8 = 1 ⇒  = 2 • ∠AL9 $an ∠BLK &e#tola! &ela!ang) (a!a 4 = 2  = 2o

⇒

a$i  + 2 = 2o

4 = 4o o

+ 2 =

⇒

 = 1o

4o

34. -e#hati!an ABC $i sa('ing/ i!a 9C 00 LB) (a!a ∠9CL = *. A. 17o B. 17o C. 127o D. 9 13o a,a&an: B -e(&ahasan: -e#hati!an segitiga &e#i!%t/ AB 00
A 7

• •

<

a$i

L 9

77 C

A 7

<

L 77 C

<

B

(a!a ∠9C< = ∠ABL = 77o o ∠
o

o

o

∠9CL = ∠9C< + ∠
<

B

37. -e#hati!an ga(&a# $i sa('ing/ A o i!a AB 00 DC) ∠BKL = 7o $an ∠K9D = 12 ) (a!a ∠LK9 = *. K A. o 9  B. 4o B C. 77o C L D. o 7 a,a&an: C -e(&ahasan: -e#hati!an &ah,a: o ∠BK9 $an ∠K9D &e#se&e#angan) (a!a ∠BK9 = ∠K9D = 12 . ∠BK9 = ∠BKL + ∠K9D 12o = 7o + ∠K9D o ∠K9D = 77

D

14


A D 3. -e#hati!an ga(&a# $i sa('ing/ i!a AB 00 DC) (a!a ∠AL9  *. 9 A. = o K < < L B. 3>7 2>4 4o C. 8o B C D. 14o a,a&an : C -e#hati!an &ah,a ∠C9= $an ∠KLB &e#'el%#%s) (a!a o ∠C9= + ∠KLB = 1 2 + 4 + 3 + 7 = 1o ⇒  = 1o o ∠AL9 $an ∠KLB &e#tola! &ela!ang) (a!a ∠AL9 = ∠KLB = 2 + 4 = 8

38. Da#i segitiga ABC $i!etah%i ∠C = o $an ∠B =A 47o. D E Besa#na ∠A = ... A. o 87 B. 7o C. o D. 47o C B a,a&an: A -e(&ahasan: o ∠BAD $an ∠B &e#se&e#angan) (a!a ∠BAD = ∠B = 47 o ∠CAE $an ∠C &e#se&e#angan) (a!a ∠CAE = ∠C =  o ∠BAD + ∠A + ∠CAE = 1 47o + ∠A + o = 1o o ∠A = 87 A 3. -e#hati!an ga(&a# $i sa('ing/ o i!a ∠CBD = 77 ) (a!a ∠ACD = *. A. o B. 4o C. 77o D. 7o C a,a&an : C -e(&ahasan: -e#hati!an ga(&a# &e#i!%t/ A CD 00 BE •

D 77

<

B

∠BDC $an ∠EBG &e#se&e#angan)

∠EBG = ∠BDC =

D 77 C

E

•

; ∠FBG $an ∠CBD &e#tola! &ela!ang) (a!a o ∠FBG = ∠CBD = 77

•

∠EBG = ∠EBF + ∠FBG

<

F

B

(a!a

o

G

17


;o •

a$i

37o ∠BCD $an ∠EBF seha$a') (a!a

o

∠ACD + ∠BCD = ; ⇒ ∠ACD =

3;. -a$a ga(&a# &e#i!%t) g 00 h. i!a ∠A1 : ∠A 2 = 2 :1) (a!a ∠B4 A. 3o B. o C. 8o D. o a,a&an: B -e(&ahasan: ∠A1 : ∠A 2 = 2 :1 ⇒ ∠A1 = 2∠A 2 ∠A1 $an ∠A 2

77o

l A

= ....

4 B 1 4

1

2

g

3 2

h

3

o

o

= 1

∠A 2 = 

o

∠B4

∠A 2 s%$%t

$an

o

∠BCD = ∠EBF = 37

&e#'el%#%s) (a!a

∠A1 + ∠A 2 = 1

2∠A 2 + ∠A 2

o

= ∠EBF + 77 ⇒ ∠EBF =

l%a# &e#se&e#angan) (a!a

4. -e#hati!an ga(&a# $i sa('ing / A ∠ACD = *. A. 1o < B. 3 137o C. 12o D. 117o a,a&an: C B -e(&ahasan: -e#hati!an ga(&a# &e#i!%t /

C

∠B4 = ∠A 2 =

o

D

AB 0 0 EC

A

•

3

<

E

•

(a!a ∠ECD = ∠ABC = ;o ∠BAC $an ∠ACE &e#se&e#angan) (a!a ∠ECD $an ∠ABC seha$a') o

∠ACE = ∠BAC = 3

o

o

o

∠ACD = ∠ACE + ∠ECD = 3 + ; = 12

B

C

D

1

Soal Dan Pembahasan Garis Garis Sejajar Kelas VII SMP

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