Two angles are supplementary. one angle is 5* less than four times the other find the measures of the angles

We know that supplementary angles are angles that add up to 180.

Let x represent the smaller angle.  

Let 4x - 5 represent the larger angle.

We know that the two angles need to equal 180. Therefore...

x + 4x - 5 = 180

Now, we can solve for x.

5x - 5 = 180

5x = 185

x = 37

Now we know x, we can plug that in to 4x - 5 to get the meassure of the larger angle.

4(37) - 5

143

37 and 143

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