# Two angles are supplementary. One angle is 5 degrees less than four times the other. What is the measure of the smaller angle? What is the measure of the other angle?

*Supplementary angles* sum to

Write the equation for the sum of the two angles ...

Solve for x ...

hope that helped

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Let ( x ) represent the measure of the smaller angle.

Then, the measure of the larger angle can be represented as ( 4x - 5 ) since it is 5 degrees less than four times the measure of the smaller angle.

Since the two angles are supplementary, their measures add up to 180 degrees.

Now, you can set up an equation:

[ x + (4x - 5) = 180 ]

Solve for ( x ) to find the measure of the smaller angle, then find the measure of the larger angle using the expression ( 4x - 5 ).

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The measure of the smaller angle is 65 degrees, and the measure of the other angle is 115 degrees.

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