Answer:
∠b + ∠c + ∠e = 120°
Step-by-step 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°
