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:

$180-L=180-143=37$ .