SOLUTION: Supplementary Angles. Two supplementary angles are such that one is 8 degrees less than three times that other. Find the angles.

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Question 185321This question is from textbook
: Supplementary Angles. Two supplementary angles are such that one is 8 degrees less than three times that other. Find the angles. This question is from textbook

Answer by solver91311(24713) About Me  (Show Source):
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Supplementary angles are two angles whose measures sum to 180 degrees (or radians if you would rather). Since the other relationship between the angles is given in terms of degrees, we'll use 180.

Let the measure of the second angle be x degrees. Then the measure of the first angle must be 3x - 8 degrees.

Adding them:



Solve for x to give you the measure of one of the angles, then subtract that measure value from 180 to get the other. Then multiply x by 3 and then subtract 8 to check your answer.

John