Question

in figure lines XY and MN intersect each other at point O. if angle POY=90° and a:b=2:3 then find c

Answer 1

If angle POY equals to 90 degree then angle POC should be equal to 90° by linear pair axiom.
Let a be 2x and b be 3x
Then
2x+3x=90°
X=90°/5
X=18°
Therefore, b=3x=3×18°=54°
If b is 54 degree then c will be equal to126°

Answer 2

Answer:

2x+3x=90°

5x=90

x=90/5

x=18

2x=2×18

=36°

in other side,3x=3×18

54°

I hope this helps you