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Ludmilka [50]
3 years ago
11

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

ice 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.
Mathematics
1 answer:
vodka [1.7K]3 years ago
5 0

Step-by-step 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=\frac{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 <u>smaller angle</u> equals 59°

The <u>larger angle</u> equals 121°

Good luck!

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