Question

Pls give me the solution pls ​

Answer 1

Answer:

Now Consider the ΔPSR,

We know in a triangle the sum of all three interior angles is equal to 180°.

So in this case,

∠PSR + ∠PRS + ∠P = 180°……(i)

But given PS = PR

And we know angles opposite to equal sides are equal, so

∠PSR = ∠PRS………(ii)

Substituting this value in equation (i), we get

∠PSR + ∠PSR + ∠P = 180°

⇒ 2∠PSR + ∠P = 180°

⇒ ∠P = 180° - 2∠PSR……(iii)

Now Consider the ΔPQR,

We know in a triangle the sum of all three interior angles is equal to 180°.

So in this case,

∠PQR + ∠PRQ + ∠P = 180°

Substituting the value of ∠P from equation (iii), we get

∠PQR + ∠PRQ + 180° - 2∠PSR = 180°

⇒ 2∠PSR = ∠PQR + ∠PRQ + 180° - 180°

⇒ 2∠PSR = ∠PQR + ∠PRQ

(iv)

Hence proved

Step-by-step explanation: