Question

exercise #1: classify each angle as acute, obtuse, right or straight. 1) 40° 2) 110° 3) 50°

Explanation:

1)

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: Classify \(40^\circ\)

Since \(0^\circ < 40^\circ < 90^\circ\), it's acute.

2)

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: Classify \(110^\circ\)

Since \(90^\circ < 110^\circ < 180^\circ\), it's obtuse.

3)

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: Classify \(50^\circ\)

Since \(0^\circ < 50^\circ < 90^\circ\), it's acute.

Answer:

s:

1. Acute
2. Obtuse
3. Acute