Measure of an angle that is twice it supplement 

Let's denote the measure of the angle as \( x \). The supplement of an angle is given by \( 180^\circ - x \). According to the problem, the angle is twice its supplement. Therefore, we can write the equation:

\[
x = 2(180^\circ - x)
\]

Now, let's solve this equation:

\[
x = 360^\circ - 2x
\]

Next, add \( 2x \) to both sides to get:

\[
3x = 360^\circ
\]

Finally, divide both sides by 3:

\[
x = 120^\circ
\]

So, the measure of the angle is \( 120^\circ \).

Would you like more details or have any questions?

Here are five related questions:
1. What is the definition of supplementary angles?
2. How do you find the complement of an angle?
3. What are the different types of angles (acute, obtuse, etc.)?
4. How do you solve for an angle if it is three times its supplement?
5. What is the relationship between an angle and its complement?

**Tip:** Remember that the supplement of an angle always sums up to \(180^\circ\).

Understand how to find the measure of an angle that is twice its supplement with a detailed step-by-step solution. This problem involves concepts from geometry and supplementary angles. Suitable for students in Grades 9-12.

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