karocapo karocapo

03-02-2022
Mathematics

contestada

Two angles are supplementary. If the degree measure of the larger angle is
60 less than twice the measure of the smaller angle, what is the measure of each
angle?

Respuesta :

RedGeek2531 RedGeek2531

03-02-2022

Supplementary angles - Sum = 180°

X + Y = 180°

x = larger angle

y = smaller angle

x = 2y - 60

x + y = 180

x = 180 - y

2y - 60 = 180 - y

2y - 60 -180 + y

3y = 240

y = 80°

x+y = 180

x+80° = 180°

x = 100°

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