Question

20. In the given figure, ZPQR = LPRQ, then prove that ZPQS = LPRT.​

Answer 1

Step-by-step explanation:

ST is a straight line and sum of angle in linear pair always equal to 180

∠PQS + ∠PQR = 180° … (1)

And

∠PRT + ∠PRQ = 180° … (2)

From equation (1) and (2).we get:

∠PQS + ∠PQR = ∠PRT + ∠PRQ … (3)

But given that ∠PQR = ∠PRQ

Plug the value we get

∠PQS + ∠PRQ =∠PRT + ∠PRQ

∠PQS = ∠PRT + ∠PRQ - ∠PRQ

∠PQS = ∠PRT

Hence proved

Answer 2

Answer:

here two angles are equal in measure

let PQR=PRQ=x

angle PQS=180-PQR

PQS=180-x........ i

PRT=180-PRQ

PRT=180-x......... ii

180-x=180-x

therefore, PQS=PRT

Hoping that this answer helps you