Question

One angle of a right triangle measures $22.5$degrees. What is the measure of the other small angle?

Short answer

The measure of the other small angle of the right angle triangle$67.5°$

Step-by-step solution

Step 1. Given information

One angle of a right triangle measures$=22.5degree$

Step 2. Measuring of the other small angle 

The measure of total the three angles of a triangle is $180°$degrees.Let x be the measure of the small angle.

The formula for finding the measure of the other small angle of the right angle triangle $ABC$is

$$\begin{gathered} x=180°-(90°+22.5°) \\ x=180°-(112.5°) \\ x=67.5° \end{gathered}$$

Therefore,the measure of the other small angle of the right angle triangle$=67.5°$