prove that triangle PQR congruent to triangle SRQ, hence angle P= angle S .

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If two triangles are congruent, then their corresponding angles are equal according to rules of congruency.
In this case Triangle PQR is congruent to Triangle SRQ, hence angle P= angle S

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As, the triangle PQR is congruent to triangle QRS, therefore, angle P = angle S, because due to the rules, the angles of the congruent
figures are always equal.
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