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In the circle above, with center O intersected by 2 straight lines, 3a

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In the circle above, with center O intersected by 2 straight lines, 3a [#permalink]

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New post 01 Mar 2017, 06:10
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

83% (01:11) correct 17% (01:16) wrong based on 29 sessions

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In the circle above, with center O intersected by 2 straight lines, 3a = b. What is the value of b − a?

(A) 2
(B) 30
(C) 45
(D) 90
(E) 135

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In the circle above, with center O intersected by 2 straight lines, 3a [#permalink]

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New post 01 Mar 2017, 06:22
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SajjadAhmad wrote:
In the circle above, with center O intersected by 2 straight lines, 3a = b. What is the value of b − a?

(A) 2
(B) 30
(C) 45
(D) 90
(E) 135


Given: 3a = b

We know that a + b = 180 degrees
Replace b with 3a to get: a + 3a = 180
Simplify: 4a = 180
Solve: a = 45

Plug a = 45 into 3a = b to get: 3(45) = b
So, b = 135

So, b - a = 135 - 45 = 90

Answer: D

Aside: Notice that we can ignore the circle information and still solve this question.
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In the circle above, with center O intersected by 2 straight lines, 3a   [#permalink] 01 Mar 2017, 06:22
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