Question

In quadrilateral PQRS PQ = PS and RQ = RS. Prove that
anglePQR = anglePSR​

Answer 1

Step-by-step explanation:

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Answer 2

Angle opposite to  equal sides are equal

Step-by-step explanation:  

Given: PQRS is a quadrilateral in which PQ=PS and RQ=RS

To Prove: ∠PQR=∠PSR

Now as shown in figure

In Δ PQS

PQ= PS

As we know angle opposite to equal sides are equal

∴ ∠PQS=∠PSQ ----(i)

Similarly

In ΔRSQ

RQ= RS

∴∠RQS=∠RSQ ----(ii)

Now i+ ii we get

∠PQS+∠RQS=∠PSQ+∠RSQ

⇒∠PQR=∠PSR

Hence proved

#Learn more

Prove that Triangle AOB is congruent to Triangle COD​

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