Question

Find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement.

If x represents the measure of the angle, then which of the following expressions would equal x?

Answer 1

Let x be the measure of the angle. The complement of the angle is 90 - x degrees. The problem states that the measure of the angle is 18 degrees less than one-half of the measure of its complement. This can be written as:

x = (1/2)(90 - x) - 18

Solving for x gives:

x = 36 degrees

Therefore, the measure of the angle is 36 degrees.

The expression that would equal x is:

(1/2)(90 - x) -18