Question

match each angle on the left with a correct description on the right. some answer choices on the right will be used more than once. acute angle obtuse angle right angle straight angle

Explanation:

Step1: Recall angle definitions

• Acute angle: \(0^{\circ}<\theta < 90^{\circ}\)
• Right angle: \(\theta=90^{\circ}\)
• Obtuse angle: \(90^{\circ}<\theta < 180^{\circ}\)
• Straight angle: \(\theta = 180^{\circ}\)

Step2: Match the first angle

The first angle (a non - right, non - straight, non - obtuse small angle) is an acute angle.

Step3: Match the second angle

The second angle (with a small square indicating \(90^{\circ}\)) is a right angle.

Step4: Match the third angle

The third angle (a straight - line - like angle) is a straight angle.

Step5: Match the fourth angle

The fourth angle (larger than \(90^{\circ}\) but less than \(180^{\circ}\)) is an obtuse angle.

Step6: Match the fifth angle

The fifth angle (smaller than \(90^{\circ}\)) is an acute angle.

Answer:

First angle: acute angle; Second angle: right angle; Third angle: straight angle; Fourth angle: obtuse angle; Fifth angle: acute angle.