Question

# Prove that ∠ ABC ≅ ∠ PQR

Hint:

### Use angle sum property.

## The correct answer is: ⇒ ∠ ABC ≅ ∠ PQR

### Complete step by step solution:

Consider 2 triangles, and

From the figure, we have

∠ BAC = ∠ QPR (given)

∠ BCA = ∠ QRP (given)

By angle sum property

We have, ∠ ABC = ∠ PQR

Ie, ∠ ABC = 180°- (∠ BAC + ∠ BCA) and

∠ PQR = 180°- (∠ QPR + ∠ QRP) = 180° - (∠ BAC + ∠ BCA)

So, ⇒ ∠ ABC ≅ ∠ PQR

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