Two angles are supplementary if their sum is 180°. The larger angle measures six

degrees more than twice

the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.

Okay, to find the answer, you need an equation. So here we go...

Small angle = x
Large angle = 2x+6
Sum of the angles = 180°

The equation is now

2x+6+x=180

Simplify
3x+6=180

Now move the 6 to the there side (numbers together)
3x+6(-6)=180(-6)
3x=174

Now divide by 3 to solve for x
3x/3=174/3
X=58

That is the smaller angle.
Now for the large angle, just plug that number into the other equation

2(58)+6=?
116+6=122
That is your large angle.

Answer Link

Two angles are supplementary if their sum is​ 180°. The larger angle measures six degrees more than twice the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are​ supplementary, find the measure of each angle.

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Two angles are supplementary if their sum is 180°. The larger angle measures six

degrees more than twice

the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.