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In a rectangle PQRS, if m ∠QPR = 26°, then m ∠SQR = __________.
Question

In a rectangle PQRS, if m ∠QPR = 26°, then m ∠SQR = __________.

A.

64°

B.

74°

C.

26°


D.

20°

Correct option is A

Given:
Rectangle PQRS, ∠QPR=26

Formula Used:
In a rectangle, diagonals are equal and bisect each other

∠QPR+∠SQR=90

Solution: 

QPR=PQS( diagonals are equal)\angle QPR = \angle PQS \quad(\text{ diagonals are equal}) 

Thus, 

QPR+SQR=90∠QPR+∠SQR=90^∘​​

SQR=90QPR SQR=9026=64\angle SQR = 90^\circ - \angle QPR \\ \ \\ \angle SQR = 90^\circ - 26^\circ = 64^\circ ​​

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