In ΔABC , ∠B = 72ᵒ and ∠C = 44ᵒ. Side BC is produced to D…

In ΔABC , ∠B = 72^o and ∠C = 44^o. Side BC is produced to D. The bisectors of ∠B and ∠ACD meet at E. What is the measure of ∠BEC ?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e 32^o.

Understanding/Application

In triangle ABC,

∠A + ∠B + ∠C = 180^o (Angles sum property)

∠A = 180 - 72 - 44 = 64^o

By the angle bisector property -

∠BEC = ∠A/2

∠BEC = 64/2

∠BEC = 32^o

SSC CGL 2020 PYQ — Question 74