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Quadrilaterals Test - 12

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    The angles of a quadrilateral are in the ration 1:3:6:8. What are the measures of the angles of this quadrilateral?

    Solution

    Let the angles of quadrilateral be x, 3x, 6x, and 8x.

    We know, sum of angles of quadrilateral is 360°

    x + 3x + 6x + 8x = 360°

    18x = 360°

    x = 20°

    x = 20° × 1 = 20°

    3x = 3×20° = 60°

    6x = 6 × 20° = 120°

    8x = 8 × 20° = 160°

    Thus, the measures of the angles are 20°, 60°, 120° and 160°.

    The correct answer is C.

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