Question

MK
In the given figure lines XY and MN intersect
ato. If Z YOP-90° and a b=2:3, find c.
X​

Answer 1

Answer:

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∘