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Easy

Question

# ∠𝐴 & ∠𝐵 are complementary. ∠𝐵 & ∠𝐶 are complementary. Prove: ∠𝐴 ≅ ∠𝐶

Hint:

### If sum of two angles is 90°, we say they are complementary angles

## The correct answer is: ∠𝐴 ≅ ∠𝐶

### SOL – It is given that ∠𝐴 & ∠𝐵 are complementary

∠A + ∠B = 90° ---- (1)

Also, 𝐵 & ∠𝐶 are complementary

∠B + ∠C = 90° ---- (2)

From (1) and (2)

We get, ∠A + ∠B = ∠B + ∠C

∠A = ∠C

∠𝐴 ≅ ∠𝐶

Hence Proved.

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