Question

Use an algebraic equation to find the measures of the two angles describe below. Begin by letting x represent the degree measure of the angles complement.

The measure of the angle 88 degrees greater than its complement.

Answer 1

Let x be the degree measure of the angle's complement.

The angle's measure is x + 88 degrees.

Since the measure of an angle and its complement add up to 90 degrees, we can set up the following equation:

x + (x + 88) = 90

Simplifying the equation:

2x + 88 = 90

Subtracting 88 from both sides:

2x = 2

Dividing both sides by 2:

x = 1

Therefore, the degree measure of the angle's complement is 1 degree, and the angle's measure is 1 + 88 = 89 degrees.