in the following figure triangle ABC is right angled at a q and R are points and line BC and P is a point such that QP is parallel to AC and RP find angle p
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Answer:
90°
Step-by-step explanation:
Given that QP || AC,
=> Angle PQC = angle QCA (alternate angles)
Given that RP || AB,
=> Angle PRQ = Angle QBA
So, ∆ABC is similar to ∆PRQ (AA)
=> Angle A = Angle P (correspond angles of similar triangles)
But, Angle A is 90° => Angle P = 90°.
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