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In the figure, PM⊥QR, ∠QPM = ∠RPM and ∠QPR =900.

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  (a) Find the measure of ∠QPM. (b) What are the measure of ∠PQM and ∠PRM? (c) If PQ = 6 cm. Find the measure of PR. Solution: Given that, PM⊥QR, ∠QPM = ∠RPM and ∠QPR =900. (a) ∠QPM + ∠RPM = ∠QPR ⟹∠QPM + ∠QPM = ∠QPR     [∵∠QPM = ∠RPM] ⟹ 2∠QPM = 900 ...

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