Question

part 6: classifying angles & relationships

1. classify each angle as acute, right, obtuse, or straight:

32° is
90° is
147° is
180° is

Explanation:

Step1: Recall angle definitions

An acute angle is \(0^{\circ}<\theta < 90^{\circ}\), a right angle is \(\theta = 90^{\circ}\), an obtuse angle is \(90^{\circ}<\theta < 180^{\circ}\), and a straight angle is \(\theta=180^{\circ}\).

Step2: Classify \(32^{\circ}\)

Since \(0^{\circ}<32^{\circ}<90^{\circ}\), it is an acute angle.

Step3: Classify \(90^{\circ}\)

Since \(\theta = 90^{\circ}\), it is a right angle.

Step4: Classify \(147^{\circ}\)

Since \(90^{\circ}<147^{\circ}<180^{\circ}\), it is an obtuse angle.

Step5: Classify \(180^{\circ}\)

Since \(\theta = 180^{\circ}\), it is a straight angle.

Answer:

\(32^{\circ}\) is acute.
\(90^{\circ}\) is right.
\(147^{\circ}\) is obtuse.
\(180^{\circ}\) is straight.