two angles are complementary. the measure of one angle is 1/5 of the measure of its compliment.find the measure of the smaller angle
one angle ---- x
other angle --- 90-x
x = (1/5)(90-x)
times 5
5x = 90-x
6x = 90
carry on...
To find the measure of the smaller angle, let's consider the given information.
We are told that two angles are complementary, which means that the sum of their measures is 90 degrees.
Let's assume that the measure of the smaller angle is "x" degrees. Since the measure of one angle is 1/5 of the measure of its complement, we can write the equation:
x = (1/5)*(90 - x)
Let's solve this equation to find the value of "x."
First, let's simplify the equation:
5x = 90 - x
Next, let's isolate "x":
5x + x = 90
6x = 90
x = 90/6
x = 15
Therefore, the measure of the smaller angle is 15 degrees.