SOLUTION: if 2 angles are supplementary and one angle is twice as large and the other, find the number of degrees in the measure of the smaller angle?

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Question 416042: if 2 angles are supplementary and one angle is twice as large and the other, find the number of degrees in the measure of the smaller angle?
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"if 2 angles are supplementary and one angle is twice as large and the other, find the number of degrees in the measure of the smaller angle?"

Supplementary angles add up to 180.

x = one angle
2x = other angle {twice as large as the other}

x + 2x = 180 {supplementary angles add up to 180}
3x = 180 {combined like terms}
x = 60 {divided both sides by 3}
2x = 120 {substituted 60, in for x, into 2x}

60 and 120 are the two angles

60 is the measure of the smaller angle
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