The sum of the angles of two supplementary angles is 180. one angle measures 15 more than twice the measure of the other. find the measure of each angle.

Question

Mathematics

Karla Berry

21 December, 20:53

The sum of the angles of two supplementary angles is 180. one angle measures 15 more than twice the measure of the other. find the measure of each angle.

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Answers (1)

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Margaret · Answer 1

Angle a + angle b = 180

a = 2b + 15

3b + 15 = 180

3b = 180 - 15 = 165

b = 165 divided by 3 = 55

the ratio of the two angle is 2:1 as a is twice as much as b

a is 55 x 2 + 15 = 125

b is 55

125 + 55 = 180