Maths-
General
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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