1. The measure of two adjacent angles of a parallelogram is in the ratio 4:2. Find the measure of each of the angles of the parallelogram.

Question

1. The measure of two adjacent angles of a parallelogram is in the ratio 4:2. Find the measure of each of the angles of the parallelogram.

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Aaliyah 3 weeks 2021-09-05T06:59:20+00:00 2 Answers 0 views 0

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    0
    2021-09-05T07:00:25+00:00

    Answer:

    Given:

    Ratio of two adjacent angles of a parallelogram = 4 : 2.

    Let the measures of angles be 4x , 2x.

    We know that,

    Sum of two adjacent angles of a parallelogram = 180°

    Hence,

    → 4x + 2x = 180°

    → 6x = 180°

    → x = 180/6

    → x = 30

    Hence,

    • 1st angle = 4x = 4(30) = 120°
    • 2nd angle = 2x = 2(30) = 60°.

    We know,

    Opposite angles of a parallelogram are equal.

    so, the measures of other two angles are also 120° , 60°.

    Therefore, the measures of four angles of the given parallelogram are 120° , 60° , 120° , 60°.

    0
    2021-09-05T07:00:44+00:00

    Given :

    • The measure of two adjacent angles of a parallelogram is in the ratio 4:2.

    To Find :

    • Measure of each of the angles of the parallelogram.

    Solution :

    ☯️ We know that,

    Sum Of Adjacent Angles = 180°

    Now,

    Let the angles be 4x, 2x.

    Put the values.

    ⇒ 4x + 2x = 180°

    ⇒ 6x = 180°

    ⇒ x = 180/6.

    ⇒ x = 30.

    Hence,

    • 1st Angle = 4x = 120°
    • 2nd Angle = 3x = 60°
    • 3rd Angle = 120°
    • 4th Angle = 60°

    Opposite Angles Of a Parallelogram are equal. So, 3rd and 4th Angle will become 120° and 60°.

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