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    In a triangle PQR, QR is produced to S. If ∠PRS (9x-15)°, ∠RPQ = (2x), and ∠PQR = (4x + 15)°, what is the value of x?
    Question

    In a triangle PQR, QR is produced to S. If ∠PRS (9x-15)°, ∠RPQ = (2x), and ∠PQR = (4x + 15)°, what is the value of x?

    A.

    55

    B.

    20

    C.

    10

    D.

    75

    Correct option is C

    Given:
    In a triangle PQR, QR is produced to S.
    If ∠PRS = (9x - 15)°, ∠RPQ = (2x)°, and ∠PQR = (4x + 15)°,
    Concept Used:
    ∠PRS = ∠RPQ + ∠PQR
    Solution:
    ∠PRS = ∠RPQ + ∠PQR
    => (9x - 15)° = (4x + 15)° + 2x
    => 9x - 6x = 30°
    => x = 10°

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