Question

LINES AND ANGLES
97
2. In Fig. 6.14, lines XY and MN intersect at 0. If
Z POY = 90° and a : b = 2:3, find c
​

Answer 1

Step-by-step explanation:

Answer

Correct option is

C

126

o

In the given figure,

∠POY=90

∘

∠POX+∠POY=180

∘

( Linear pair )

∠POX+90

∘

=180

∘

⇒∠POX=90

∘

a:b=2:3

Let a=2x

∘

and b=3x

∘

∠POX=a+b=5x

90

∘

=5x

⇒x=18

∘

∠MOX=b=3x=54

∘

∠MOX+∠NOX=180

∘

( Linear pair)

b+c=180

∘

54

∘

+c=180

∘

c=180

∘

−54

∘

=126

∘