In ∆ ABC, ∠B = 60°, ∠C = 40°, AD is the

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In ∆ ABC, ∠B = 60°, ∠C = 40°, AD is the bisector of ∠A and AE is drawn perpendicular on BC from A. Then the measure of ∠EAD is

1. 40°
2. 30°
3. 10°
4. 80°

Correct Option: C

As per the given in question , we draw a figure of triangle ABC whose AD is the bisector of ∠A and AE is drawn perpendicular on BC from A ,

Given that , ∠B = 60°, ∠C = 40°
∠BAC = 180° – 60° – 40° = 80°
∠BAD = ∠DAC = 40°
In ∆ ABE,
∠BAE = 90° – 60° = 30°
∠EAD = 40° – 30° = 10°