Question

->
.) In Fig 6.16 PQR = PRO. then prove that
PQS = PRT.​

Answer 1

Answer:

Step-by-step explanation:

Given-AnglePQR= AnglePRQ

To Prove-AnglePQS= AnglePRT

Proof-anglePQR=anglePRQ (Given)

180degree-anglePQS= 180degree-anglePRT (Linear Pair Axiom)

-anglePQS= -anglePRT

(Cancel - sign from both the sides)

AnglePQS=AnglePRT

Hence proved

HOPE IT HELPS!!

Answer 2

Question :-

In figure, ∠PQR = ∠PRQ, then prove that ∠PQS = ∠PRT.

Answer :-

ST is a straight line.

∴ ∠PQR + ∠PQS = 180° …(1) [Linear pair]

Similarly, ∠PRT + ∠PRQ = 180° …(2) [Linear Pair]

From (1) and (2), we have

∠PQS + ∠PQR = ∠PRT + ∠PRQ

But ∠PQR = ∠PRQ [Given]

∴ ∠PQS = ∠PRT

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