Question

FOR A TEST, PLEASE HELP Two angles are supplementary if their sum is​ 180°. The larger angle measures three 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. The smaller angle measures ? degrees. The larger angle measures ? degrees.

Answer 1

Explanation:

I think writing the given out helps a bit.

x = small angle

2x+3 = large angle <-- it's 2x since it's twice the small angle and +3 because it's 3 degrees more than the small angle.

small angle + large angle = 180

Now just substitute!

`x+(2x+3)=180\\3x=177\\x=(177)/(3) \\x=59`

Now that you know what x equals (aka the smaller angle) now you can find the larger angle.

`2(59)+3\\118+3\\121`

Answer:

The smaller angle equals 59°

The larger angle equals 121°

Good luck!