Math, asked by anusamro, 11 months ago

In rectangle PQRS if angle SQR is 60 degree determine angle SRP

Answers

Answered by amitnrw
10

Answer:

∠SRP = 30°

Step-by-step explanation:

In rectangle PQRS if angle SQR is 60 degree determine angle SRP

Let Compare ΔSRQ  & ΔSRP

SR = SR ( common side)

RQ = SP  ( opposite side of rectangle are equal)

SQ = RP  ( Digonals of rectangle are equal)

=> ΔSRQ ≅ΔSRP

=> ∠SQR = ∠SPR = 60°

in ΔSRP

∠SPR +  ∠SRP   + ∠RSP = 180°

=> 60° + ∠SRP + 90° = 180°

=> ∠SRP = 30°

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