Question

If you are really intelligent so solve this question.

XY and MN intersect at O. If <POY =90° and a:b=4:5, show that angle c= 130°. ​

Answer 1

Answer:

<YON+<c=180

50+<c=180

<c=130°

Step-by-step explanation:

let's suppose __

<a=4x

and

<b=5x

then__

<a+<b=90°

4x+5x=90°

x=10

then____

<a=40° and <b=50°

and ___

<b=<YON=50°

THEN ____

<c+<YON=180°

<c=130°

Answer 2

Answer:

Given: POY + 90°

a:b = 4:5

Let a = 4x

b= 5x

POY + a+ b = 180° (angles on a straight line)

90° + 4x + 5x = 180°

90+ 9x = 180

9x = 180- 90

x = 90/9

x = 10

a = 4x = 4*10 = 40°

b = 5x = 5*10 = 50°

b+ c = 180° (linear pair)

50 +c = 180

c = 180 - 50

c = 130

HENCE PROVED