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In ΔABC, AD ⊥ BC at D and AE is the bisector of ∠A. If ∠B = 62° and ∠C = 36°, then what is the measure of ∠DAE?
1. 54°
2. 13°
3. 23°
4. 27°

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Correct Answer - Option 2 : 13°

Given:

∠B = 62° 

∠C = 36° 

Calculation:

According to the question

⇒ ∠A = 180° – 62° – 36° 

⇒ 82° 

∠BAE is the bisector of ∠A

⇒ ∠BAE = 82/2

⇒ ∠BAE = 41° 

∠BAD = 180° – 62° – 90° 

⇒ 28° 

∠DAE = 41° – 28° 

⇒ 13° 

∴ The measure of ∠DAE is 13° 

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