Question

in figure, lines XY and mn intersect at O. If anglePOY=90° and a:b=2:3,find c.(please explain it in detail)
that line which is draw between angle POY with pen is made by mistake

Answer 1

Heya user ,
Here is your answer

Let a = 2x
b = 3x

as a,b,90° lie on a line so their sum is 180°

So, a+b+90°=180°

=> 2x+3x+90°=180°

=> 5x = 180°-90°

=> 5x = 90°

=> x = 90°/5

=> x = 18°

So, a = 2×18° = 36°
b = 3×18° = 54°

Vertically opposite angles are equal.

So, c = a+90°

=> c = 36°+90°

=> c = 126°

Hope this helps

if any doubt raises you can ask me
love to help :)

thank you

-Sneha
-Brainly Benefactor