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.

Question

Mathematics

Lilyana Mendoza

18 August, 19:22

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.

+5

Answers (1)

Know the Answer?

Ayla Crawford · Answer 1

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.

Two angles are supplementary if their sum is 180°. The larger angle measures sixdegrees more than twicethe 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.

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.