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 supplement.
The measure of the angle is four times greater than it’s supplement
Let "x" represent the degree measure of the angles supplement. Since the angle is four times greater than its supplement, its measure would be 4x.
We know that the sum of a angle and its supplement is 180 degrees (because they are supplementary angles). Therefore, we can set up the equation:
x + 4x = 180
Combining like terms:
5x = 180
Divide both sides of the equation by 5 to solve for x:
x = 180/5
x = 36
So, the supplement of the angle is 36 degrees. To find the measure of the angle, multiply x by 4:
4x = 4 * 36 = 144
Therefore, the measure of the angle is 144 degrees.