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Yesterday, 19:19

Find the measure of two complementary angles, a and b, if m a = 7x + 4 and m b = 4x + 9

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Answers (2)
  1. Yesterday, 19:29
    0
    Complentary angles add to 90 degrees

    a and b are complentary

    a+b=90

    a=7x+4

    b=4x+9

    so

    7x+4+4x+9=90

    combine like terms

    11x+13=90

    minus 13 both sides

    11x=77

    divide both sides by 11

    x=7

    m a = 7x+4=7 (7) + 4=49+4=53

    m b=4x+9=4 (7) + 9=28+9=37

    angle a measures 53 degrees

    angle b measures 37 degrees
  2. Yesterday, 20:55
    0
    A would be 53 and b would be 37.

    37 + 53 = 90 complementary angle = 90°
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