Maths-
General
Easy

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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