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.
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.