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Question

In figure, lines XY and MN intersect at O. If POY=90 and a : b = 2 : 3, find 'c'.


A

126

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B

36

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C

54

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D

90

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Solution

The correct option is A

126


We have, a : b = 2:3

So, let a= 2x and b=3x

Clearly,ray OP stands on line XY.

XOP+POY=180 [Linear pair of angles]

a+b+90=180

a+b=18090

a+b=90

2x+3x=90

5x=90

x=18

a=2x=36

b=3x=54

b+c=180

c=18054=126


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