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Chapter 3: Q. 396 (page 408)

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

Short Answer

Expert verified

The measure of the other angles of the triangle are32掳and90掳.

Step by step solution

01

Step 1. Given Information

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

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

02

Step 2. Find the measure of the third angle

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

Let the third angle measures x掳.

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

58掳+90掳+x掳=180掳148掳+x掳=180掳x掳=180掳-148掳x掳=32掳

So the three angles of the triangle are90掳,58掳,32掳.

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