Question

In Fig. 6.14, lines XY and MN intersect at O. If Angle POY = 90° and a:b = 2:3, find c.​

Answer 1

Answer:

a = 36 degree

b = 54 degree

c = 126 degree

Step-by-step explanation:

Angle POY = 90

a+b = 90 degree

a:b = 2;3 (Given)

2:3 = 90 degree

a (Angle POM) = 90*2/5 = 18*2 = 36 degree

b (Angle MOX) = 90*3/5 = 18*3 = 54 degree

Angle MON = 180 degree

Angle MOX + Angle XON = 180 degree

54 degree + Angle XON = 180 degree

Angle XON = 180 - 54 degree

C= 126 degree