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    Question

    The ratio of the angles of a quadrilateral is 3:2:7:8.

    What is the sum of the largest and the smallest angle?
    A 120⁰ Correct Answer Incorrect Answer
    B 193⁰ Correct Answer Incorrect Answer
    C 225⁰ Correct Answer Incorrect Answer
    D 180⁰ Correct Answer Incorrect Answer

    Solution

    ATQ,

    Given: Ratio of angles = 3 : 2 : 7 : 8 Sum of angles in a quadrilateral = 360° Let angles be: 3x, 2x, 7x, 8x Total = 20x = 360 ⇒ x = 18 Angles: 3x = 54°, 2x = 36°, 7x = 126°, 8x = 144° Smallest = 36°, Largest = 144° Sum = 36 + 144 = 180⁰

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