Question

In the adjoining figure, angle ABC is right-angled at A. Q and R are points on line BC and P is point such that QP||AC and RP||AB. Find angle P.
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Answer in detail
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Answer 1

Step-by-step explanation:

as AB||RP

taking BR as line crossing on parallel lines

angle ABR = angle BRP

as QP||RC

taking QC as line crossing on parallel lines

angle PQC = angle ACQ

triangle ABC = angles A+B+C

triangle QPR = angles Q+P+R

as angles B=R. C=Q

therefore angle A= Angle P