Question

Two angles are supplementary. the measure of the larger angle is 12 less than 3 what is major of larger angle

Answer 1

The measure of the larger angle in the pair of supplementary angles, given that it is 12 less than three times the measure of the smaller angle, is 132 degrees.

Step-by-step explanation:

To find the measure of the larger angle in a pair of supplementary angles, we can use the property that the sum of supplementary angles is 180 degrees. If the larger angle is 12 less than three times the smaller angle, we can express this relationship as:

Let x be the measure of the smaller angle.

Then, the larger angle is 3x - 12.

Because they are supplementary, x + (3x - 12) = 180.
Solving for x, we find:

x + 3x - 12 = 180

4x - 12 = 180

4x = 192

x = 48

Now we can find the measure of the larger angle:

3(48) - 12 = 144 - 12 = 132

Therefore, the measure of the larger angle is 132 degrees.