two adjacent angles of a parallelogram are 2:3. Find the measures of all the angles. ​

Question

two adjacent angles of a parallelogram are 2:3. Find the measures of all the angles.

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Clara 7 months 2021-10-13T17:10:46+00:00 2 Answers 0 views 0

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    0
    2021-10-13T17:12:19+00:00

    We know that sum of adjacent angles of parallelogram is 180°.

    Let the ratio be 2x and 3x.

    2x + 3x = 180°

    5x = 180°

    x = 36°

    Now find 2x and 3x using x = 36°

    2x = 2 × 36 = 72°

    3x = 3 × 36 = 108°

    We know that opposite angles of a parallelogram are the same.

    Hence the angles are,

    72,108,72,108.

    Hope it helps you

    0
    2021-10-13T17:12:42+00:00

    Answer:

    72° and 108°

    Step-by-step explanation:

    The sum of the adjacent angles of a Parallelogram

    = 180°

    2:3 :: 2x : 3x

    => 2x + 3x = 180°

    => 5x= 180°

    => x = (180/5)°

    => x = 36°

    The unknown angles = 1) 2x = (2 ^ 36)° = 72°

    2) 3x = (3 ^ 36)° = 108°

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