In the given figure, `AP*AR=AS*AQ` prove that `angle P= angle S and an – InterviewSolution

InterviewSolution

1.	In the given figure, `APAR=ASAQ` prove that `angle P= angle S and angle Q= angle R`.
Answer» We have, `angle PAQ= angle SAR " " ...(i)` [ vertically opposite angles] Also, `APAR= ASAQ` (given) `rArr (AP)/(AS)=(AQ)/(AR)" "...(ii)` From (i) and (ii) , we get `Delta PAQ ~ Delta SAR` [ by SAS-similarity] `:.angle P= angle S and angle Q angle R`[ corresponding angles of similar triangles.]

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