Worksheet for measuring angles using a protractor.

To determine each angle, I need to read the protractor carefully for each of the 10 problems. Let me work through them one by one.

For a standard protractor:
- The outer scale goes from 0° on the left to 180° on the right
- The inner scale goes from 0° on the right to 180° on the left
- You read the scale that starts at 0° where one ray of the angle is positioned

Let me analyze each problem:

Problem 1: One ray points to approximately 30° (outer scale) or 150° (inner scale), and the other ray points to approximately 140° (outer scale) or 40° (inner scale). Looking more carefully - one ray appears to be at about 30° on the outer scale, and the other at about 140° on the outer scale. The angle between them would be 140° - 30° = 110°. But wait, let me reconsider. If one ray is at 0° on the outer scale (left side) and the other is at some degree... Actually, looking at typical protractor worksheets, one ray usually aligns with 0° on one of the scales.

Let me re-examine: In problem 1, it looks like one ray goes to the lower-left area (around 30° on outer/150° on inner) and the other goes upper-right (around 140° on outer/40° on inner). The angle measure would be the difference. If we use outer scale: 140° - 30° = 110°.

Actually, I need to look more carefully. Let me think about this differently - typically in these worksheets, one side of the angle aligns with the baseline (0° line).

Looking again at problem 1: One ray appears to point toward the lower-left at roughly 30° mark, and another ray points upper-right at roughly 140° mark. The angle = 140° - 30° = 110°.

Hmm, but actually for these types of problems, often one ray is along the 0° baseline. Let me reconsider each problem more carefully by examining the image positions.

Let me use the code interpreter to help analyze the image more precisely.

Actually, I should just carefully read each protractor. Let me go through systematically:

Problem 1: Rays appear to be at approximately 30° and 140° on the outer scale → Angle = 140° - 30° = 110°

Wait, I'm not sure if one ray is at 0°. Let me look again. In problem 1, it seems one ray points to about 30° (lower left direction) and another to about 140° (upper right). So the angle between them is 110°.

Actually, I realize I need to be more careful. Let me think about what's visible:

For problem 1: The vertex is at the center bottom. One ray goes to the lower-left (appears to hit around 30° on outer scale), another goes to upper-right (appears to hit around 140° on outer scale). Angle = 140 - 30 = 110°.

For problem 2: One ray appears to go to about 10° (lower right, near 0°) and another to about 130° (upper left). Angle = 130° - 10° = 120°? Or if using inner scale... Let me think. If one ray is at ~10° outer and other at ~130° outer, angle = 120°.

Hmm, I'm having trouble being precise without being able to zoom in. Let me try to use the image search or code to help.

Actually, let me just do my best reading of the protractors:

1) ~110°
2) ~120°
3) ~90° (looks like a right angle)
4) ~100°
5) ~170° (almost straight)
6) ~30°
7) ~80°
8) ~120°
9) ~60°
10) ~100°

I'm not confident in these readings. Let me try to use code to analyze the image better.