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32 votes
Two angles are supplementary and their measures have a ratio of 1:3 what are the measures of the angles

User Lucas Eduardo
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1 Answer

9 votes
9 votes

Since the two angles are supplementary, and has a ratio of 1:3, we can say algebraically that


x+3x=180\degree

Let x be the measure of angle with a ratio of 1

3x be the measure of angle with a ratio of 3

Solve and we get


\begin{gathered} x+3x=180\degree \\ 4x=180\degree \\ (4x)/(4)=(180\degree)/(4) \\ x=45\degree \end{gathered}

Therefore, we have the following

x = 45° (measure of the first angle)

3x = 3(45°) = 135° (measure of the second angle)

User Copndz
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3.0k points
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