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In the figure above, if a = 3d, b =

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In the figure above, if a = 3d, b = [#permalink]

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New post 06 Feb 2018, 03:16
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00:00
A
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E

Difficulty:

  15% (low)

Question Stats:

84% (01:05) correct 16% (01:58) wrong based on 56 sessions

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Image
In the figure above, if a = 3d, b =

(A) 25

(B) 35

(C) 75

(D) 800

(E) 100

[Reveal] Spoiler:
Attachment:
2018-02-06_1414.png
2018-02-06_1414.png [ 11.54 KiB | Viewed 484 times ]
[Reveal] Spoiler: OA

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Re: In the figure above, if a = 3d, b = [#permalink]

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New post 06 Feb 2018, 03:39
a+b+80= 180 (straight line)........(1)
a=3d (Given)........(2)
b= d (Vertically opposite angle ).......(3)

Put (2) and (3) in (1)

3d+d+80=180
4d= 180-80= 100
4d= 100;
d= 25

Answer: A.
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Re: In the figure above, if a = 3d, b = [#permalink]

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New post 06 Feb 2018, 23:39
b=d(opposite dide of straight line)
a+b+80=180(total angle of straight line)
3d+d+80=180
4d+80=180
4d=100
d=25,
So, b=25
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Re: In the figure above, if a = 3d, b = [#permalink]

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New post 09 Feb 2018, 10:59
Expert's post
Bunuel wrote:
Image
In the figure above, if a = 3d, b =

(A) 25

(B) 35

(C) 75

(D) 800

(E) 100

[Reveal] Spoiler:
Attachment:
2018-02-06_1414.png


Since a = 3d, c = 3d, and we see that e = 80 and b = d.

Thus:

3d + 80 + d = 180

4d = 100

d = 25

So b = 25 also.

Answer: A
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Re: In the figure above, if a = 3d, b =   [#permalink] 09 Feb 2018, 10:59
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