https://file.aiquickdraw.com/mathbot/file/17270635501778koxsz8w.jpg

Let's solve this problem step by step.

### Problem breakdown:
1. Let \( x \) be the measure of the supplement of the angle.
2. The problem states that the angle is **three times greater** than its supplement.
3. Two angles are **supplementary** if their sum is 180°.

Thus, we can set up the following:
- The measure of the angle is \( 3x \).
- Since supplementary angles sum to 180°, we can write the equation:

\[
x + 3x = 180
\]

### Solving the equation:

\[
4x = 180
\]

\[
x = \frac{180}{4} = 45
\]

### Conclusion:
- The measure of the supplement \( x \) is **45°**.
- The measure of the angle is \( 3x = 3 \times 45 = 135° \).

Would you like more details or have any other questions?

### Related Questions:
1. What is the definition of supplementary angles?
2. How would the equation change if the angle were twice its supplement?
3. Can two acute angles ever be supplementary? Why or why not?
4. What is the measure of the supplement of a 60° angle?
5. If two angles are complementary, how would the setup of the equation differ?

### Tip:
When dealing with word problems, always translate the words into mathematical equations step by step. This helps avoid mistakes!

The measure of the angle is three times greater than its supplement. What is the measure of the supplement?

This problem explores how to find the measure of the supplement of an angle that is three times greater than its supplement. Using basic algebraic techniques and the concept of supplementary angles, the solution walks through the necessary steps, making it suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation