Question

plzz help me plzzzz​

Answer 1

PQS = PRQ+QPR .....1
PRT=QPR+PQR.
but PRQ=PQR......GIVEN
PRT=QPR+PRQ......2
PRT=PQS. FROM 1 AND 2
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Answer 2

Step-by-step explanation:

From Figure:

(i)

Line ST is a straight line and PQ meets it at point Q.

Thus, ∠PQS and ∠PQR form a linear pair.

⇒ ∠PQS + ∠PQR = 180°

⇒ ∠PQR = 180° - ∠PQS.

(ii)

Line ST is a straight line and PR meets it at point R.

Thus, ∠PRQ and ∠PRT form a linear pair.

⇒ ∠PRQ + ∠PRT = 180°

⇒ ∠PRQ = 180° - ∠PRT

From (i) & (ii), we get

⇒ ∠PQR = ∠PRQ {Given}

⇒ 180° - ∠PQS = 180° - ∠PRT

⇒ ∠PQS = ∠PRT

Hope it helps!