Question

In Fig. 6.15. angle PQR = anglePRQ, then prove that
anglePOS = anglePRT

​

Answer 1

Step-by-step explanation:

angle PQR + angle PQS =180

and angle PRQ+ angle PRT =180

because these are linear pair angles

but :

PQR = PRQ

SO , PQS = PRT

Answer 2

Answer:

Step-by-step explanation:

Let ∠P=x

and let ∠PQR=∠ PRQ=y

Now the ∠ PQS is an external angle

So ∠ PQS= ∠ PRQ+ ∠ P=x+y........(1)

and ∠ PRT=∠ PQR + ∠ P =x+y.......(2)

Thus from (1) and (2)

∠ PQS =∠ PRT