Question

# In the given diagram, m∠1 ≅ m∠3

Prove that ∠POR ≅ ∠QOS.

Hint:

### given m∠1 ≅ m∠3 , adding common angle 2 to both sides proves the statement.

## The correct answer is: Hence proved

### Aim :- To prove ∠POR ≅ ∠QOS.

Given , m∠1 ≅ m∠3

Adding angle 2 to both sides by the addition property of equality both sides remain equal.

m∠1 + m∠2 ≅ m∠2 + m∠3

We know that ∠1 +∠2 = ∠ POR and ∠2 + ∠3 = ∠QOS

Substituting the angle POR and QOS ,

∠POR ≅ ∠QOS

Hence proved

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