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Simple Geometry Problem

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Source: — Data Sufficiency |
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by rijul007 » Thu Dec 15, 2011 1:20 am
From the fig

x = y+20
y = x - 20

Is y<70?

it can be rephrased as
Is x-20 < 70?
or
Is x < 90?

Statement 1
says the same thing

Sufficient

Statement 2
Not sufficient


Option A
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by neelgandham » Thu Dec 15, 2011 2:01 am
Angles of a triangle add upto 180 degrees = 20 + y + Third angle of the triangle = 180 degrees -(1)
Angles On One Side of A Straight Line add to 180 degrees = x + Third angle of the triangle = 180 degrees -(2)
From (1) and (2)
20 + y + Third angle of the triangle = x + Third angle of the triangle
x = y + 20

The question can be rephrased to
If x =y+20, is y < 70 ?
(1) x<90
Implies y+20<90
y < 70 Sufficient!
(1) x>70
Implies y+20>70
y > 50
y can be 60(<70) or 90(>70)Hence Insufficient!
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