Question

    In the given figure, ADEF is a rectangle. ∠CBE = 70°,

    find the value of X.
    A 60° Correct Answer Incorrect Answer
    B 70° Correct Answer Incorrect Answer
    C 40° Correct Answer Incorrect Answer
    D 50° Correct Answer Incorrect Answer

    Solution

    Each interior angle of rectangle = 90°
    Therefore,
    ∠BAC = 90 - 40 = 50°
    Now, in triangle ABC,
    ∠BCA = 180 - (50 + X) = (130 - X)°
    Now,
    AD || FE and BC is transversal line. So,
    ∠CBE = ∠BCA [alternate interior angles]
    70 = 130 - X
    X = 130 - 70
    X = 60°

    Practice Next

    Relevant for Exams: