Question

One angle of a right triangle measures $58°$. What is the measure of the other angles of the triangle?

Short answer

The measure of the other angles of the triangle are$32°$and$90°$.

Step-by-step solution

Step 1. Given Information

We are given that one angle of a right triangle measures $58°$.

The objective is to find the measures of the other angles.

Step 2. Find the measure of the third angle

As the triangle is a right triangle so one angle measures $90°$.

Let the third angle measures $x°$.

Now it is known that the sum of the measure of all three angles of a triangle is $180°$. So the sum of $58°,90°,$and $x°$is $180°$.

$\begin{array}{rcl}58°+90°+x°& =& 180°\\ 148°+x°& =& 180°\\ x°& =& 180°-148°\\ x°& =& 32°\end{array}$

So the three angles of the triangle are$90°,58°,32°$.