Question

in figure 6.15 angle PQR= angle PRQ then prove that angle POS is equal to angle PRT​

Answer 1

Answer:

☺ 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✿❁═══┅✿

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

Plz mrk as brainliest ❤