one of the angles of a parallelogram is equal to 40°. find the rest of the angles. The angles of a parallelogram are

one of the angles of a parallelogram is equal to 40°. find the rest of the angles. The angles of a parallelogram are

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  1. Answer:

    40°, 140° and 140°

    Step-by-step explanation:

    Given:

    • In a parallelogram, the measurement of one angle = 40°

    To Find:

    • What are the measurements of rest angles?

    Solution:

    The sum of the adjacent angles of a parallelogram is equal to 180° .

    Let the adjacent angle be x .

    A/Q,

    40° + x = 180°

    => x = 180° 40°

    x = 140°

    The opposite angles of a parallelogram are equal.

    Hence, the opposite angle of 140°=140°

    the opposite angle of 40° = 40°

    Therefore, rest of the angles are 40°, 140° and 140°.

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