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

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SVP
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 2033
Location: Pakistan
GPA: 3.39
In the circle above, with center O intersected by 2 straight lines, 3a  [#permalink]

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01 Mar 2017, 05:10
00:00

Difficulty:

25% (medium)

Question Stats:

85% (01:41) correct 15% (01:37) 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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01 Mar 2017, 05:22
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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

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

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 &nbs [#permalink] 01 Mar 2017, 05:22
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