In a triangle ABC, ∠A = 90°, ∠C = 55°, $${AD}$$ ⊥ $${BC}$$. What is the value of ∠BAD ?

A. 35°

B. 60°

C. 45°

D. 55°

Answer: Option D

Solution(By Examveda Team)

According to question,

In right angle ΔBAC
∠A + ∠B + ∠C = 180°
∠B = 180° - 55° - 90°
∠B = 35°
In right angle ΔADB
∠ADB + ∠ABD + ∠BAD = 180°
∠BAD = 180° - 35° - 90°
∠BAD = 55°

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Alternate
ΔBAC ∼ ΔBDA
∴ ∠BCA = ∠BAD = 55°