Question

in figure 6.15 pqr =0
prq then prove pqs=prt​

Answer 1

Answer: Question 3. In Fig. 6.15, ∠ PQR  =  ∠ PRQ, then prove that

∠ PQS  =  ∠ PRT.

Image  

Solution:

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

Step-by-step explanation: PLEASE MARK ME THE BRAINLEIST

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 ❤