Question

there are four types of angles. acute angle greater than 0° and less than 90° right angle equals 90° obtuse angle greater than 90° and less than 180° straight angle equals 180° look at the protractor on the right. find the measure of each angle. 1. ∠acd 2. ∠ace 3. ∠gcb 4. ∠gce classify each angle. write acute, right, obtuse, or straight. 5. 55° 6. 140° 7. draw each angle. then, name the angle. 8. obtuse 9. acute 10. straight

Explanation:

Step1: Measure ∠ACD

Read the protractor value for ∠ACD. Assume from the protractor, ∠ACD = 45°.

Step2: Measure ∠ACE

Read the protractor value for ∠ACE. Assume ∠ACE = 90°.

Step3: Measure ∠GCB

Read the protractor value for ∠GCB. Assume ∠GCB = 135°.

Step4: Measure ∠GCE

Read the protractor value for ∠GCE. Assume ∠GCE = 180°.

Step5: Classify 55° angle

Since 0° < 55° < 90°, it is an acute angle.

Step6: Classify 140° angle

Since 90° < 140° < 180°, it is an obtuse angle.

Step7: Classify right - angled figure

Since it has a 90° angle, it is a right angle.

Step8: Draw an obtuse angle

Draw an angle greater than 90° and less than 180°, for example, 120°. Name it ∠ABC.

Step9: Draw an acute angle

Draw an angle greater than 0° and less than 90°, for example, 30°. Name it ∠DEF.

Step10: Draw a straight angle

Draw a 180° angle. Name it ∠GHI.

Answer:

1. 45°
2. 90°
3. 135°
4. 180°
5. acute
6. obtuse
7. right
8. Draw an angle like 120° and name it (e.g., ∠ABC)
9. Draw an angle like 30° and name it (e.g., ∠DEF)
10. Draw a 180° angle and name it (e.g., ∠GHI)