Question

In figure, lines XY and MN intersect at O. If ∠POY=90
o
and a:b=2:3, find c.
​

Answer 1

Step-by-step explanation:

the answer of the question is this

Answer 2

Step-by-step explanation:

XY is a line. Thereby, Angle XOY = 180°

Angle (a +b) + 90° = 180° (Linear Pairs)

Let the angle a and angle b be 2x and 3x respectively.

So, 2x + 3x +90° = 180°

5x = 90°

x = 90/5

x = 18

Now,

Angle a = 2x = (2×18)° = 36°

Angle b = 3x = (3×18)° = 54°

Now MN is a line. Thereby, Angle MON = 180°

Angle (b+c) = 180° [Linear Pairs]

54° + c = 180°

c = 180 - 54° = 126°

126° is the Answer.