Chapter 12, Problem 1R

Classify each angle as right, acute, or obtuse:

To determine

The classification of the provided angle shown below as right, acute or obtuse angle.

Answer to Problem 1R

Solution:

The angle shown in the provided figure is an acute angle.

Explanation of Solution

Given Information:

An angle as shown in the below figure:

The angles can be classified on the basis of the degree measure.

A right angle is an angle with a measure of $90°$. In a sketch or diagram, $90°$ angle is often noted by placing a small square in the angle.

An acute angle is an angle with a measure less than $90°$.

An obtuse angle is an angle with a measure greater than $90°$ but less than $180°$.

All the three types of angles are shown below in the figure:

From the provided figure, it is observed that measure of the angle is less than $90°$.

Thus, the angle shown in the provided figure is an acute angle.