Question

i 'If two sides of a triangle are congruent
then the angles opposite to them
are congruent prove​

Answer 1

Answer:

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Step-by-step explanation:

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If two angles of a triangle are congruent , then the sides opposite to these angles are congruent.

Proof

Draw SR¯¯¯¯¯ , the bisector of the vertex angle ∠PRQ .

Since SR¯¯¯¯¯ is the angle bisector , ∠PRS≅∠QRS .

By the Reflexive Property ,

RS¯¯¯¯¯≅RS¯¯¯¯¯

It is given that ∠P≅∠Q .

Therefore, by AAS congruent, ΔPRS≅ΔQRS .

Since corresponding parts of congruent triangles are congruent,

PR¯¯¯¯¯≅QR¯¯¯¯¯

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