Geometry

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The measure of angle B, the supplement of angle A, is four times the measure of angle C, the complement of angle A.

I need to find the measure of all angles and i have no idea of where to start, any help would be appreciated.

  • Geometry -

    sure you have an idea. What property do supplementary angles have? They add to 180°. Complementary angles add to 90°.

    so, B = 180-A
    C = 90-A

    B = 4C, so
    180-A = 4(90-A)
    180-A = 360-4A
    3A = 180
    A = 60

    complement = 30°
    supplement = 120°, which is 4 times 30°

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