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    The value of x in the given diagram is
    Question

    The value of x in the given diagram is

    A.

    60o60^o​​

    B.

    80o80^o​​

    C.

    120o120^o​​

    D.

    None of these

    Correct option is B

    Given:

    ∠ABC = 40°

    ∠DCA = 120° (Exterior angle at C)

    ∠BAC = x (Angle at vertex A of triangle ABC)

    Concept Used:

    Exterior Angle Theorem — The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

    Solution:

    ∠DCA = ∠A + ∠B

    120° = x + 40°

    x = 120° - 40°

    x = 80°

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