Question

N

The measure of Zo is 150°. What is the value of mZb+mZc+mze?
O 90°
ОООО
120°
210°

Answer 1

∠b + ∠c + ∠e = 120°

Explanation:

From the attached figure,

∠b + ∠e + ∠a = 180° (Linear pair)

Given that, ∠a = 90°

∠b + ∠e = 90° ...(1)

Also,

∠c + ∠d = 180° (Linear pair)

Given that,

∠d = 150°

∠c = 180°-150°

= 30°

Adding ∠c to both sides of the equation (1).

∠b + ∠e + ∠c= 90° + ∠c

∠b + ∠c + ∠e = 90° + 30°

= 120°

Hence, the meaure of ∠b + ∠c + ∠e is equal to 120°