Question

6. Find the measure of an angle if five times the measure of its complement is 24° less than

twice the measure of its supplement.
Equation:
Measure:

Answer 1

Answer: Let's call the measure of the angle x.

The complement of the angle is (90 - x) degrees, and the supplement is (180 - x) degrees.

So, using the information given in the problem, we can set up an equation:

5 * (90 - x) = 2 * (180 - x) - 24

Expanding both sides and simplifying, we get:

450 - 5x = 360 - 2x - 24

Solving for x, we get:

6x = 294

x = 49

Therefore, the measure of the angle is 49 degrees.

Explanation: