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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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