Problem Description:
The image provided is an "Angles Worksheet 1" that includes several sections for identifying and drawing angles. The task involves analyzing the angles in
Sections A, B, and C and then drawing specific angles in
Section D.
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Solution:
####
Section A: Identifying Angles
In this section, we need to classify each angle as
acute,
right,
obtuse, or
reflex based on its measure:
-
Acute Angle: Less than 90°
-
Right Angle: Exactly 90°
-
Obtuse Angle: Greater than 90° but less than 180°
-
Reflex Angle: Greater than 180° but less than 360°
1.
Angle 1: Acute (less than 90°)
2.
Angle 2: Obtuse (greater than 90° but less than 180°)
3.
Angle 3: Right (exactly 90°)
4.
Angle 4: Acute (less than 90°)
5.
Angle 5: Reflex (greater than 180° but less than 360°)
6.
Angle 6: Straight (exactly 180°)
7.
Angle 7: Reflex (greater than 180° but less than 360°)
####
Section B: Identifying Angles
Similar to Section A, we classify each angle:
1.
Angle 1: Acute (less than 90°)
2.
Angle 2: Acute (less than 90°)
3.
Angle 3: Obtuse (greater than 90° but less than 180°)
4.
Angle 4: Right (exactly 90°)
5.
Angle 5: Reflex (greater than 180° but less than 360°)
6.
Angle 6: Obtuse (greater than 90° but less than 180°)
7.
Angle 7: Reflex (greater than 180° but less than 360°)
####
Section C: Identifying Angles
Again, we classify each angle:
1.
Angle 1: Acute (less than 90°)
2.
Angle 2: Acute (less than 90°)
3.
Angle 3: Obtuse (greater than 90° but less than 180°)
4.
Angle 4: Acute (less than 90°)
5.
Angle 5: Obtuse (greater than 90° but less than 180°)
6.
Angle 6: Reflex (greater than 180° but less than 360°)
7.
Angle 7: Obtuse (greater than 90° but less than 180°)
8.
Angle 8: Reflex (greater than 180° but less than 360°)
####
Section D: Drawing Angles
In this section, we are tasked with drawing specific angles using a protractor. Here’s how to approach each one:
1.
15°: Draw a ray, place the protractor's center on the ray's endpoint, align the protractor's baseline with the ray, and mark the point at 15°. Draw a second ray from the endpoint through the marked point.
2.
34°: Repeat the process, marking the point at 34°.
3.
67°: Mark the point at 67°.
4.
95°: Mark the point at 95°.
5.
145°: Mark the point at 145°.
6.
171°: Mark the point at 171°.
7.
200°: Mark the point at 200°.
8.
280°: Mark the point at 280°.
9.
300°: Mark the point at 300°.
10.
196°: Mark the point at 196°.
11.
283°: Mark the point at 283°.
12.
317°: Mark the point at 317°.
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Final Answer:
-
Section A:
1. Acute
2. Obtuse
3. Right
4. Acute
5. Reflex
6. Straight
7. Reflex
-
Section B:
1. Acute
2. Acute
3. Obtuse
4. Right
5. Reflex
6. Obtuse
7. Reflex
-
Section C:
1. Acute
2. Acute
3. Obtuse
4. Acute
5. Obtuse
6. Reflex
7. Obtuse
8. Reflex
-
Section D:
Draw each angle using a protractor as described above.
$$
\boxed{\text{See classifications and drawing instructions above.}}
$$
Parent Tip: Review the logic above to help your child master the concept of angles worksheets.