Question

An angle measures 174° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

The supplementary angle of an angle is the angle that, when added to the original angle, gives 180 degrees. So, if an angle measures 174 degrees more than the measure of its supplementary angle, then the two angles will add up to 354 degrees. This means that the measure of the original angle is 177 degrees, and the measure of the supplementary angle is 177 degrees.

Here is the solution in equation form:

Let x be the measure of the angle.

x = 180 - x + 174

2x = 354

x = 177

Therefore, the measure of the angle is 177 degrees, and the measure of the supplementary angle is 177 degrees.

Answer 2

Explanation:

x = 174 + 180 - x

2x = 354

x = 177

180 - x = 3