The measures of two supplementary angles are in the ratio 4 : 11. What is the measure of the larger angle?

Question

The measures of two supplementary angles are in the ratio 4 : 11. What is the measure of the larger angle?

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Ella 3 months 2021-11-10T22:35:45+00:00 2 Answers 0 views 0

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    0
    2021-11-10T22:36:58+00:00

    sun of supplementary angles is 180

    therefore, in 4:11

    11>4

    so, 4x+11x=180

    15x=180

    x=180/15

    x=12

    therefore both the angles are

    4*12=48 degree

    11*12=132 degree

    the answer of larger angle is 132 degree

    0
    2021-11-10T22:37:36+00:00

    Answer:

    If the ratio is 4:11 , 11/(4+11) = 11/15 of the whole is the larger angle

    so 11/15 * 180 = 1980/15 = 132 degrees. The smaller angle must be 180-132 = 48 degrees. Notice 48:132 = 4:11

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