Question

In figure, lines XY and MN intersect at 0. If ∠POY = 90°, and a : b = 4 : 5. find c.

Answer 1

Answer:

the measure of angle c is 130

Step-by-step explanation:

let the common ratio be x

then ATQ

< POY+ <POX = 180 (angle sum)

90+ a + b= 180

90+ 4x + 5x = 180

9x= 90

x= 90/9

x=10

<a= 4x = 4×10 = 40

<b= 5x= 5× 10 = 50

now,

<b+<c= 180

50+<c = 180

<c = 130

hope it will help!