37.0k views
3 votes
The measure of an angles supplement is 76 less than the measure of the angle. Find the measure of the angle and it’s supplement.

2 Answers

4 votes

Answer:

angle: 128
supplement: 52

Explanation:

2x + 76 = 180

2x = 104

x = 52 degrees.

52 + 76 = 128 degrees.

52 + 128 = 180 degrees.

User TestingWithArif
by
8.0k points
0 votes

Hello!

A supplement is another angle that, with the given angle, add up to 180. This gives us the equation below.

a+a-76=180

Let's combine like terms.

2a-76=180

We add 76 to both sides.

2a=256

We divide both sides by 2

a=128

This means our one angle is 128. We subtract 78 from it to find its supplement.

128-76=42

Therefore, our angle is 128°, and its supplement is 42°.

I hope this helps!

User Kannan Suresh
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories