The measure of two angles andjacent angles are in the ratio of 3:2 find the each of the angle of the parallelogram​

Question

The measure of two angles andjacent angles are in the ratio of 3:2 find the each of the angle of the parallelogram​

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Eva 1 month 2021-09-14T23:34:57+00:00 2 Answers 0 views 0

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    0
    2021-09-14T23:36:01+00:00

    Answer:

    108°, 72°, 108° and 72°

    Step-by-step explanation:

    Let the measure of the given adjacent angles of the parallelogram be (3x)° and (2x)° respectively.

    As we know that the sum of two andjacent angles of a parallelogram is 180°.

    So, 3x + 2x = 180

    => 5x = 180

    => x = 180/5

    => x = 36

    So, the measure of the given adjacent angles of the parallelogram are:

    (3x)° = (3×36)° = 108°, and

    (2x)° = (2×36)° = 72°

    And we know that opposite angles of a parallelogram are equal.

    So, the angles of the given parallelogram are 108°, 72°, 108° and 72°

    Hope, it may be helpful.

    0
    2021-09-14T23:36:06+00:00

    The answer is in the attachment . Kindly refer to it .

    Hope you find my answer useful!!

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