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?

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Answer 1 · 2015-11-21T17:48:41

Supplementary angles sum to #180^o#

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

#x+(4x-5)=180#

Solve for x ...

#5x=185#

#x=37^o#

#180-37=143^0#

So, the smaller angle is #37^o# and the other angle is #143^o#

hope that helped