The measure of an angle is five less than four times the measure of its supplement. How do you find both angle measures?

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Answer 1 · 2016-10-21T08:38:37

The angle measures #143^o# and the supplementary angle measures #37^o#.

Consider the angle as #L# and the supplement, by definition, will be #(180-L)#

According to the problem above:

#L=4(180-L)-5#

Open the brackets.

#L=720-4L-5#

Simplify the equation.

#L=715-4L#

Add #4L# to both sides.

#5L=715#

Divide both sides by #5#.

#L=143#

Consequently, the supplementary angle is:

#180-L=180-143=37#.