Question

PLS ANSWER TRUTHFULLY STEP BY STEP WILL MARK BRAINLIEST QUESTION IF NOT CLEAR, In the Fig, angle PQR =ANGLE PRQ then prove that angle PQS = angle PRT

Answer 1

Step-by-step explanation:

In the figure,

∠PQR = ∠PRQ   .......(*)

∠PQS + ∠PQR = 180°     (linear pair) ........... (i)

∠PRT + ∠PRQ = 180°      (liner pair) ............(ii)

From (i) and (ii) ,

∠PQS + ∠PQR = ∠PRT + ∠PRQ

Using (*) ,

∠PQS + ∠PRQ = ∠PRT + ∠PRQ

          ∴ ∠PQS = ∠PRT

               Hence proved

Hope it helps..!!

Plz mark brainliest !!

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 ❤