Question

In fig 6.15,angle pqr=angle prq, then prove thatangle pqs=angle prt

Answer 1

∠PQR = ∠PRQ
To prove:∠PQS = ∠PRT
Proof:
∠PQR +∠PQS =180° (by Linear Pair axiom)
∠PQS =180°– ∠PQR — (i)
∠PRQ +∠PRT = 180° (by Linear Pair axiom)
∠PRT = 180° – ∠PRQ
 ∠PRQ=180°– ∠PQR — (ii) [∠PQR = ∠PRQ]
From (i) and (ii)
∠PQS = ∠PRT = 180°– ∠PQR
∠PQS = ∠PRT Hence, ∠PQS = ∠PRT
#SingodiyaBoy..

Answer 2

$<b>$☺ Hello mate__ ❤

◾◾here is your answer...

Given:  ∠PQR=∠PRQ

To prove: ∠PQS=∠PRT

Proof:  

∠PQS+∠PQR=180°  (Linear pair) .......eq(1)

∠PRT+∠PRQ=180°     (Linear pair)  ......eq (2)

From (1) and (2),we can say that

∠PQS+∠PQR=∠PRT+∠PRQ

I hope, this will help you.

Thank you______❤

✿┅═══❁✿ Be Brainly✿❁═══┅✿