Question

The measure of an angle is twenty-nine times the measure of its supplementary angle. What is the measure of each angle?

Answer 1

174°

Explanation:

Let the measure of the supplementary angle be x. The other angle to be found will then have a measurement of 29x.

Together, these two angles measure 180°

So,

x + 29x = 180

30x = 180

x = (180/30)

x = 6

Thus, the supplement measures 6°

The other angle measures 29*6=174°

We can check our answer to make sure the angles are supplementary:

6° + 174° = 180°