To solve the problem of determining the angles using a protractor, we need to carefully measure each angle shown in the images. Here's a step-by-step explanation of how to measure an angle with a protractor:
Steps to Measure an Angle Using a Protractor:
1.
Identify the Vertex: The vertex is the point where the two rays (sides of the angle) meet.
2.
Place the Protractor: Align the center of the protractor with the vertex of the angle. Ensure that one ray of the angle passes through the baseline of the protractor.
3.
Read the Scale: Protractors have two scales, one starting from 0° on the left and the other from 0° on the right. Choose the scale that starts from the ray that aligns with the baseline.
4.
Read the Angle: Follow the second ray to see where it intersects the protractor's scale. This intersection point gives the measure of the angle.
Solution for Each Angle:
Let's go through each angle in the image and determine its measure:
#### 1)
- The angle opens to the right.
- The baseline ray aligns with the 0° mark on the outer scale.
- The second ray points to 60° on the outer scale.
-
Answer: 60°
#### 2)
- The angle opens to the left.
- The baseline ray aligns with the 0° mark on the inner scale.
- The second ray points to 120° on the inner scale.
-
Answer: 120°
#### 3)
- The angle opens to the right.
- The baseline ray aligns with the 0° mark on the outer scale.
- The second ray points to 45° on the outer scale.
-
Answer: 45°
#### 4)
- The angle opens to the right.
- The baseline ray aligns with the 0° mark on the outer scale.
- The second ray points to 30° on the outer scale.
-
Answer: 30°
#### 5)
- The angle opens to the left.
- The baseline ray aligns with the 0° mark on the inner scale.
- The second ray points to 135° on the inner scale.
-
Answer: 135°
#### 6)
- The angle opens to the right.
- The baseline ray aligns with the 0° mark on the outer scale.
- The second ray points to 75° on the outer scale.
-
Answer: 75°
#### 7)
- The angle opens to the left.
- The baseline ray aligns with the 0° mark on the inner scale.
- The second ray points to 105° on the inner scale.
-
Answer: 105°
#### 8)
- The angle opens to the right.
- The baseline ray aligns with the 0° mark on the outer scale.
- The second ray points to 90° on the outer scale.
-
Answer: 90°
#### 9)
- The angle opens to the right.
- The baseline ray aligns with the 0° mark on the outer scale.
- The second ray points to 15° on the outer scale.
-
Answer: 15°
#### 10)
- The angle opens to the right.
- The baseline ray aligns with the 0° mark on the outer scale.
- The second ray points to 100° on the outer scale.
-
Answer: 100°
Final Answers:
1.
60°
2.
120°
3.
45°
4.
30°
5.
135°
6.
75°
7.
105°
8.
90°
9.
15°
10.
100°
Thus, the final answer is:
\[
\boxed{60, 120, 45, 30, 135, 75, 105, 90, 15, 100}
\]
Parent Tip: Review the logic above to help your child master the concept of angle measures worksheet.
