Question

In the above picture, lines XY and MN intersect at O. If angle POY = 90 deegree and a:b = 2:3 , find c​

Answer 1

Step-by-step explanation:

Let , K= x

then ,a=2x

b= 3x

we know, angle a+b+ angle poy=180°(linear pairs)

or,2x+3x+90=180°

or,5x+90=180

or,5x=180-90

or,5x=90

or,x=90/5=18

then, a=2(18)=36

b=3(18)=54

angle b +angle c=180°(linear pairs)

or,54+c=180

or,c=180-54=126°