A ray drawn from the top of a right angle divides it into two angles. One of these angles is 21% of the right angle.

A ray drawn from the top of a right angle divides it into two angles. One of these angles is 21% of the right angle. Find the degrees of both angles. The degree measure of the smaller angle is °. The degree measure of the larger angle is °.

We can compose the proportion by designating the unknown degree measure of the smaller angle as X:
90 ° -100%
X — 21%
90 / X = 100/21
X = 90 * 21/100
X = 18.9
The smaller angle is 18.9 °
The larger angle is 90 ° -18.9 ° = 71.1 °
Answer: The degree measure of the smaller angle is 18.9 °. The degree measure of the larger angle is 71.1 °.