Chapter 12.6, Problem 33SR

To determine

Classify angle: ${114}^0$

Answer to Problem 33SR

Angle ${114}^0$ is obtuse angle.

Explanation of Solution

Given:

Angle: ${114}^0$

Calculations:

Here, we have to classify given angle for acute, obtuse, right or straight.

Angles are classified as follows,

1. Acute angle: Acute angle is less than ${90}^0$

2.Right angle: Right angle is exactly ${90}^0$

3. Obtuse angle: Obtuse angle is larger than ${90}^0$ and less than ${180}^0$

4.Straight angle: Straight angle is exactly ${180}^0$

As given angle ${114}^0$ is greater than ${90}^0$ and less than ${180}^0$ .Thus we can say that angle

${114}^0$ is obtuse angle.

Conclusion:

Therefore, we are able to classify given angle as acute, obtuse, straight and right.