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଴

Let's solve this step by step:

Step 1: Understand the problem. We know that the sum of an angle and its supplement is 180 degrees. The problem states that the measure of an angle is twice the measure of its supplement.

Step 2: Set up the equation. If we let x be the measure of the angle, then its supplement is 180 - x. According to the problem, x = 2(180 - x).

Step 3: Solve the equation. Expanding the right side gives x = 360 - 2x. Adding 2x to both sides gives 3x = 360. Dividing both sides by 3 gives x = 120.

So, the measure of the angle is 120 degrees. The correct answer is C) 120 degrees.