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15 May, 20:28

angle a and b are complementary. m angle a = 2x and m angle b = 4x + 30. what is the measure of the angle supplementary to angle a?

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  1. 15 May, 21:35
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    M>a + m>b = 90 (complementary angle)

    2x + 4x + 30 = 90

    6x + 30 = 90

    6x + 30 - 30 = 90-30

    6x = 60

    6x/6 = 60

    x=10

    The m>a = 2x

    m>a = 20

    Supplemenary angles must add up to 180. So, 180 - 20 = 160

    So the measure of the angle supplementary to angle a is 160°
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