Question

An angle measures 80.4° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Explanation:

Let's denote the measure of the angle as x.

According to the problem, the angle measures 80.4° more than its supplementary angle. Since supplementary angles add up to 180°, we can write the equation:

x = (180 - x) + 80.4

Simplifying this equation, we get:

x = 180 - x + 80.4

Combining like terms, we have:

2x = 180 + 80.4

2x = 260.4

Dividing both sides by 2, we find:

x = 260.4 / 2

x = 130.2

Therefore, the measure of the angle is 130.2°, and its supplementary angle is 180 - 130.2 = 49.8°.