SOLUTION: The measures of two supplementary angles are in the ratio of 4:5. Find the number of degrees in the measure of the smaller angle.
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Question 252072: The measures of two supplementary angles are in the ratio of 4:5. Find the number of degrees in the measure of the smaller angle. Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! First we need a definition: Supplementary angles are two angles that add to 180 degrees. The key part is "ratio". When they say this place an x next to each number and apply the appropriate definition, in this case supplementary angles. So, we have
4x + 5x = 180
9x = 180
x = 20.
This is your multiplier. So the smaller angle is 4x = 80.
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