Question

9
LAND ANGLES
2 In Fig. 6.14, lines XY and MN intersect at O. If
Z POY = 90° and a : b = 2:3, find c.
M M
NS
Fig. 6.14​

Answer 1

Answer:

a= 36°

b= 54°

c= 126°

Step-by-step explanation:

a+b+∠POY = 180°                (Liner Pair)

2x+3x+90°= 180°

5x+90°= 180°

5x= 180-90°

5x= 90°

x= 90°÷5

x= 18°

2x= 36°

3x= 54°

b+c= 180°         (Liner Pair)

54°+c= 180°

c= 180°-54°

c= 126°

Hope it helps you.