Question

types of angles
identify each of the angles shown in figure 21 - 33 as acute, right, obtuse, straight,
or reflex.

1. $\angle 2$
2. $\angle dca$
3. $\angle acb$
4. $\angle dcb$
5. $\angle 3$
6. $\angle 1$
7. $\angle d$
8. $\angle dac$
9. $\angle afb$
10. $\angle aef$

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: \(\theta = 180^{\circ}\)
• Reflex angle: \(180^{\circ}<\theta < 360^{\circ}\)

Step2: Analyze \(\angle2\)

From the figure, \(\angle2\) is greater than \(180^{\circ}\) and less than \(360^{\circ}\)

Answer:

Reflex