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Question

In the given figure, AB||CD. If APQ=70 and PRD=120 then QPR=?

(a)50

(b)60

(c)40

(d)35

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Solution

ANSWER:
(a)50
AB∥CD and PQ is the transversal.
PQR=APQ=70 Alternate Interior Angles
Side QR of traingle PQR is produced to D.
PQR+QPR=PRD70+QPR=120QPR=50


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