Knowee
Questions
Features
Study Tools

One angle is equal to three times of its supplement. The measure of the angle is

Question

One angle is equal to three times of its supplement.

The measure of the angle is:

🧐 Not the exact question you are looking for?Go ask a question

Solution

Let's denote the angle as x.

The supplement of an angle is what, when added to the angle, equals 180 degrees. So, the supplement of the angle x is 180 - x.

According to the problem, the angle is three times its supplement. We can write this as an equation:

x = 3 * (180 - x)

Solving this equation will give us the measure of the angle.

First, distribute the 3 on the right side of the equation:

x = 540 - 3x

Then, add 3x to both sides to get all the x terms on one side:

4x = 540

Finally, divide both sides by 4 to solve for x:

x = 540 / 4

x = 135

So, the measure of the angle is 135 degrees.

This problem has been solved

Similar Questions

If the measure of an angle is twice the measure of its supplement,then the measure of the angle isA) 60଴B) 90଴C) 120଴D) 130଴

A parallelogram has one angle that measures 90°. What are the measures of the other three angles in the parallelogram?

The measure of angle θ is 7⁢𝜋4. The measure of its reference angle is °, and tan θ is .

If two complimentary angles differ by 55∘55 ∘ , then one of the angle isa115.5∘115.5 ∘ b116.5∘116.5 ∘ c117.5∘117.5 ∘ d118.5∘118.5 ∘

Let be an acute angle. Use a calculator to approximate the measure of to the nearest tenth of a degree.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.