In ( PQR ), it is given that (PQ = PR ). (a) Write the relation between ( Q ) and ( R…

MATHEMATICS · Subjective · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

In △PQR\triangle PQR, it is given that PQ=PRPQ = PR. (a) Write the relation between ∠Q\angle Q and ∠R\angle R. (b) If ∠Q=5x−7∘\angle Q = 5x - 7^\circ and ∠R=3x+17∘\angle R = 3x + 17^\circ, determine the value of xx and hence find the measure of each interior angle of the triangle. (c) State whether ∠P\angle P is acute, right, or obtuse. Give reasons for your answer.

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