Question

Find the measure of each angle.

Answer 1

Smaller angle: 12 degrees

Larger angle: 168 degrees

Solution:

Since the angles are supplementary, their measures add up to 180 degrees. Let the measures of the smaller and larger angles be x and 14x, respectively. We can set up the following equation:

x + 14x = 180

Combining like terms, we get:

15x = 180

Dividing both sides by 15, we get:

x = 12

Therefore, the measure of the smaller angle is 12 degrees and the measure of the larger angle is
`$14x = 14 * 12 = 168$` degrees.

Summary:

The measure of the smaller angle is 12 degrees.

The measure of the larger angle is 168 degrees.