SOLUTION: The ratio of two supplementary angles is 1:7. Find the measure of the smallest angle.

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Question 153584: The ratio of two supplementary angles is 1:7. Find the measure of the smallest angle.
Answer by orca(409) About Me  (Show Source):
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As the ratio of the two angles is 1 : 7, we can use x and 7x to represent the two unknown angles.
As the two angles are supplementary, their sum is 180 degrees.
So x + 7x = 180
Solving for x, we have
8x = 180
x = 22.5
So one angle measures 22.5 degrees, another angle measures 7x = 7*22.5 = 157.5 degrees.