in a triangle ABC,if 2angle A =3 angle B= 6angleC ,then the measure of angle B is​

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in a triangle ABC,if 2angle A =3 angle B= 6angleC ,then the measure of angle B is​

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Hailey 2 weeks 2021-09-09T14:13:19+00:00 1 Answer 0 views 0

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    2021-09-09T14:14:23+00:00

    Answer:

    measure of angle B is 49.09

    Step-by-step explanation:

    if 2angle A =3 angle B= 6angleC

    then the ratios are 2:3:6.

    So, let angles be, 2x+3x+6x

    now , the sum of the interior angles of a triangle is 180°.

    So, 2x+3x+6x=180°

    = 11x = 180°

    = x = 180°/11

    = x = 16.36…

    now, in question it is asked that what is the measure of angle B.

    So, angle B is equal to 2x.

    So, 3x = 3×16.36…

    =3x = 49.09…

    so measure of angle B is 49.09…

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