Question

line XY and MN intersect at O if <poy=90 and a:b=2:3 find c

Answer 1

POY = 90°

POX + POY = 180° ( If a ray stand on a line then the sum of two adjacent angle so formed is 180 ° )

POX + 90° = 180°

POX = 180° - 90°

= 90°

We are given that , a : b = 2 : 3

then a = 90° x 2/5

= 36°

b = 90° x 3/5

= 54°

Now , C = XON = MOY ( vertically opposite angle MOY= MOD + POY )

= MOD + POY

= a + 90°

= 36° + 90°

= 126°

Therefore C = 126° .