Examveda

In the given figure, ∠DBC = 65°, ∠BAC = 35° and AB = BC, then the measure of ∠ECD is equal to:
Geometry mcq question image

A. 65°

B. 50°

C. 55°

D. 45°

Answer: Option D

Solution (By Examveda Team)

Geometry mcq question image
∠BAC = ∠ACB = 35°
∠DBC = ∠DAC = 65°
∠DAB + ∠BCD = 180°
(35° + 65°) + ∠ACB + ∠ECD = 180°
100° + 35° + ∠ECD = 180°
∠ECD = 45°

This Question Belongs to Arithmetic Ability >> Geometry

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