Question

Two angles are supplementary. The first angle is 8x degrees. The second angle is(4x+12). Determine the measure of each angle.

Answer 1

The measure of the angles are 112 degrees and 68 degrees.

Explanation:

Two angles are supplementary if they add up to 180 degrees.

The first angle is 8x degrees.

The second angle is (4x+12) degrees.

Therefore:

8x+4x+12=180 degrees

12x+12=180

12x=180-12

12x=168

Divide both sides by 12

x=14 degrees

Substituting x in the given angles:

8x =8*14=112 degrees

4x+12=4(14)+12=68 degrees

Therefore, the measure of the angles are 112 degrees and 68 degrees.