Question

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

Answer 1

Answer:

c=126°

Step-by-step explanation:

Let ∠ a = 2x, then ∠b = 3x

(sum of angle in linear pair always equal to 180° )

∠XOM + ∠MOP + ∠POY = 180°

∠b + ∠a + ∠POY = 180°

given that ∠POY = 90°

plug this value we get

3x + 2x + 90° = 180°

5x = 90°

x = 18°

a = 2x = 2 × 18 = 36°

b = 3x = 3 ×18 = 54°

MN is a straight line.

sum of angle in linear pair always equal to 180°

so that ∠b + ∠c = 180°

54° + ∠c = 180°

∠c = 180° − 54° = 126°

∠ c = 126°