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In the following figure, side QS is congruent to side SP, RPQ=50and PSR=600

Then among P,Q,R,S , which two angles are equal?

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Congruent sides or segments have the exact same length. Congruent angles have the exact same measure. For any set of congruent geometric figures, corresponding sides, angles, faces, etc. are congruent.

So in triangle SPQ by property of triangle if two sides are equal then corrosponding opposite angle must be equal. i.e SQ= SP so,  $\angle$ SPQ = $\angle$ SQP

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