the measures of two complementary angles are in the ratio 4:1. wht is the measure of the smaller angle?
1/5 = x/90
Cross multiply and solve for x.
yjd
To find the measure of the smaller angle, we first need to know what complementary angles are. Complementary angles are two angles that add up to 90 degrees.
Let's assume the measure of the smaller angle is x degrees. Therefore, the measure of the larger angle is 90 - x degrees, because the sum of the two angles is 90 degrees.
Now, we are given that the measures of the two angles are in the ratio 4:1. This means that the ratio of the measure of the larger angle to the measure of the smaller angle is 4:1.
Using this information, we can set up the following equation:
(90 - x) / x = 4 / 1
We can cross-multiply to solve for x:
1 * (90 - x) = 4 * x
90 - x = 4x
Now, we can solve for x:
5x = 90
x = 90 / 5
x = 18
Therefore, the measure of the smaller angle is 18 degrees.