Question

in figure pqr =prq then prove pqs =prt

Answer 1

$\textbf{ Hello Mate! }$

$\textbf{ Angles PQR = PRQ(Given) }$

Now,

/_PQR + /_PQS = 180° [ Linear pair ]

/_ PRQ + /_ PRT = 180° [ Linear pair ]

As in both equations RHS is equal so,

/_PQR + /_PQS = /_PRQ + /_PRT

/_PQS = /_PRT

$\textbf{ Hence Proved }$

$\textbf{ Have great future ahead! }$

Answer 2

$<b>$☺ Hello mate__ ❤

◾◾here is your answer...

Given:  ∠PQR=∠PRQ

To prove: ∠PQS=∠PRT

Proof:  

∠PQS+∠PQR=180°  (Linear pair) .......eq(1)

∠PRT+∠PRQ=180°     (Linear pair)  ......eq (2)

From (1) and (2),we can say that

∠PQS+∠PQR=∠PRT+∠PRQ

I hope, this will help you.

Thank you______❤

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