Question

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

1. \\( \angle 2 \\) obtuse
2. \\( \angle acb \\) acute
3. \\( \angle 3 \\)
4. \\( \angle d \\)
5. \\( \angle afb \\)

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 \(\angle3\)

\(\angle3\) is formed at point \(E\). Since \(180^{\circ}<\angle3 < 360^{\circ}\) (it is the larger angle at the intersection of the lines at \(E\)), \(\angle3\) is a reflex angle.

Step3: Analyze \(\angle D\)

In the figure, \(\angle D\) is part of a parallelogram - like structure. Since \(0^{\circ}<\angle D<90^{\circ}\) (assuming the figure's geometric properties and typical angle measures in such diagrams), \(\angle D\) is an acute angle.

Step4: Analyze \(\angle AFB\) (assuming it's a typo and you mean \(\angle AEB\) or similar, but if we consider the general rules)

If \(\angle AFB\) is a straight - line - like angle (if it's a straight line formed by two rays), \(\angle AFB = 180^{\circ}\), so it is a straight angle. But if there is a mis - label and it's a different angle, we use the definitions. For example, if it's a right - angled - like angle (from the figure's structure), but without seeing the exact measure (using the general rules):

• If it's \(90^{\circ}\), it's a right angle. But if we assume the figure's non - right - angled parts (except \(\angle DAB = 90^{\circ}\) which is given as \(90\) in the figure), and if \(\angle AFB\) is a straight line (sum of angles on a line), it's a straight angle.

Answer:

1. \(\angle3\) is a reflex angle.
2. \(\angle D\) is an acute angle.
3. \(\angle AFB\) (assuming it's a straight - line - type angle) is a straight angle.