An angle measures 56° more than the measure of its supplementary angle. What is the measure of each angle?

17° and 73°

Let's assume the measure of the angle is x degrees.

The supplementary angle of x degrees will then be 180 - x degrees.

According to the given information, the angle measures 56 degrees more than its supplementary angle, which can be written as:

x = (180 - x) + 56

Simplifying the equation:

x = 180 + 56 - x

Combining like terms:

2x = 236

Dividing both sides by 2:

x = 236/2

x = 118

Therefore, the measure of the angle is 118 degrees, and its supplementary angle is 180 - 118 = 62 degrees.

To find the measure of each angle, we need to set up an equation based on the information given.

Let's assume the measure of one angle is x degrees. Its supplementary angle would be 180° - x (since the sum of supplementary angles is 180°).

According to the given information, the angle measures 56° more than its supplementary angle. This can be written as:

x = (180° - x) + 56°

Now, let's solve this equation to find the value of x:

x = 180° - x + 56°
2x = 180° + 56°
2x = 236°
x = 236° / 2
x = 118°

So, one angle measures 118°.

To find the measure of its supplementary angle, we substitute this value back into the equation:

180° - x = 180° - 118°
180° - x = 62°

Therefore, the measure of each angle is 118° and 62°.

x = 56 + 180-x