Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the angle's complement.
The measure of the angle is 18 degrees greater than its complement.
What is the measure of the complement?
complementary angles sum to 90º
angle + complement = 90º
Compliment = X degrees.
Angle = x + 18.
x + (x+18) = 90.
X =
To solve this problem, let's first represent the complement of the angle using the variable x.
Let x represent the degree measure of the angle's complement.
Since the measure of the angle is 18 degrees greater than its complement, we can set up the equation:
x + 18 = measure of the angle.
Now, to find the measure of the complement, we substitute the value of the angle in terms of x into the equation.
x + 18 = measure of the angle.
But we know that the complement of the angle is x, so we can substitute x for the measure of the complement:
x + 18 = x.
Now, we solve the equation for x:
x + 18 - x = 0,
18 = 0.
This equation has no solution, which means there is no consistent value for the complement of the angle.