Question

The measure of an angle is 135 degrees. What is the measure of its supplementary angle ?

Answer 1

The measure of the supplementary angle to a 135-degree angle is 45 degrees, calculated by subtracting 135 degrees from 180 degrees.

Step-by-step explanation:

The measure of an angle is 135 degrees. Supplementary angles are two angles whose measures add up to 180 degrees. To find the measure of the supplementary angle, we subtract the given angle's measure from 180 degrees. Here's the calculation:

1. Identify the measure of the given angle (135 degrees).
2. Subtract the measure of the given angle from 180 degrees: 180 degrees - 135 degrees = 45 degrees.
3. The measure of the supplementary angle is therefore 45 degrees.

Answer 2

Remember that if two angles are supplementary, then the sum of their measures is 180°. So if the measure of an angle is 135 degrees. What is the measure of its supplement?

If the measure of an angle is 135°,

then the measure of its supplement is 45°.

We can find the measure of its supplement by taking 180 minus the measure of the original angle which in this case is 180 - 135 or 45°.