Question

In fig 6.15 angle PQR=angle PRQ,then prove that the angle PQS=angle PRT

Answer 1

Answer:

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Step-by-step explanation:

Lines ST and PQ intersect at point Q, hence the sum of adjacent angles ∠PQS and ∠PQR is 180°. Lines ST and PR intersect at point R, hence the sum of adjacent angles ∠PRQ and ∠PRT is 180°. From equations (1) and (2), it is clear that b = c. Hence ∠PQS = ∠PRT is proved.