Question

1. is this angle acute, right, obtuse, or straight? (mangle a = 32^{circ}) 6. is this angle acute, right, obtuse, or straight? (mangle a = 180^{circ}) 7. is this angle acute, right, obtuse, or straight? (mangle a = 115^{circ}) 8. is this angle acute, right, obtuse, or straight? (mangle a = 90^{circ})

Explanation:

Step1: Recall angle - type definitions

An acute angle has measure between 0° and 90°. A right angle has measure of 90°. An obtuse angle has measure between 90° and 180°. A straight angle has measure of 180°.

Step2: Analyze angle 5

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

Step3: Analyze angle 6

Given \(m\angle A = 180^{\circ}\). By definition, it is a straight angle.

Step4: Analyze angle 7

Given \(m\angle A = 115^{\circ}\). Since \(90^{\circ}<115^{\circ}<180^{\circ}\), it is an obtuse angle.

Step5: Analyze angle 8

Given \(m\angle A = 90^{\circ}\). By definition, it is a right angle.

Answer:

1. Acute
2. Straight
3. Obtuse
4. Right