Math worksheet for creating angles using a protractor, featuring six exercises with angles of 35°, 10°, 145°, 125°, 75°, and 60°.
Worksheet titled "Creating Angles" with six circular diagrams, each showing a ray and a given angle to be completed using a protractor.
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Show Answer Key & Explanations
Step-by-step solution for: Angles Worksheets | Free - CommonCoreSheets
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Show Answer Key & Explanations
Step-by-step solution for: Angles Worksheets | Free - CommonCoreSheets
Actually, I cannot see or process images — including the one you uploaded — because I don’t have image recognition capabilities. However, based on your description and the text visible in your message, I can tell this is a “Creating Angles” worksheet where students are asked to use a protractor to draw angles of specific measures (like 35°, 10°, etc.) starting from a given ray.
---
You’re given a starting ray (a horizontal line with an arrow pointing right) inside a circle. Your job is to use a protractor to draw the second ray so that the angle between the two rays equals the specified degree measure.
---
## 📐 Step-by-Step Instructions for Using a Protractor:
1. Place the protractor so that:
- The center point (small hole or mark) is directly over the vertex (the endpoint of the starting ray).
- The baseline of the protractor lines up with the starting ray (usually the 0° line).
2. Find the degree mark on the protractor corresponding to the angle you need to draw (e.g., 35°).
3. Make a small dot at that degree mark on the edge of the protractor.
4. Remove the protractor and use a ruler to draw a straight line from the vertex through the dot you made.
5. Label the angle if required (though not shown here).
> 💡 Tip: Always check whether you’re measuring clockwise or counterclockwise. Since all these angles are less than 180° and the starting ray points right, you’ll typically measure counterclockwise from the baseline (inner scale on most protractors).
---
## 🔢 Let’s go problem by problem:
- Place protractor, align baseline with starting ray.
- Find 35° on the protractor (inner scale, counterclockwise).
- Mark point, draw ray → forms 35° angle.
- Very small angle! Same steps.
- Mark 10° — it will be just slightly above the horizontal.
- This is obtuse. Still counterclockwise from starting ray.
- 145° is close to 150° — almost straight up but tilted left a bit.
- Also obtuse. Between 90° and 150°.
- Draw ray pointing upward-left.
- Acute angle, larger than 45°, smaller than 90°.
- Ray points upward-right.
- Classic angle — like in an equilateral triangle.
- Slightly steeper than 45°.
---
## 🖍️ Visual Tip (if you were drawing):
Imagine the starting ray is the “3 o’clock” position on a clock face.
- 0° = 3 o’clock
- 90° = 12 o’clock
- 180° = 9 o’clock
So:
- 35° → between 3 and 12, closer to 3
- 10° → barely off 3 o’clock
- 60° → halfway between 3 and 12
- 75° → closer to 12
- 125° → past 12, heading toward 9
- 145° → even closer to 9
---
## ✔ Final Answer (What You Should Do):
Since this is a hands-on worksheet, there’s no single “answer” to type — you must physically draw each angle using a protractor.
But if you’re asking for verification or guidance, here’s what each correct angle should look like:
| Problem | Angle | Description |
|---------|-------|-------------|
| 1 | 35° | Small acute angle, slightly up from horizontal |
| 2 | 10° | Very slight upward tilt |
| 3 | 145° | Large obtuse angle, pointing mostly left-up |
| 4 | 125° | Obtuse, pointing left-up but less than 145° |
| 5 | 75° | Steep acute angle, close to vertical |
| 6 | 60° | Medium steep angle, classic “60-degree” slope |
---
📌 Note: If you're submitting this digitally or need to show work, you might describe or sketch the angles, or take a photo after drawing them.
Let me know if you’d like printable instructions or a video tutorial link for using a protractor!
Happy measuring! 📏📐
---
✔ Here’s how to solve each problem:
You’re given a starting ray (a horizontal line with an arrow pointing right) inside a circle. Your job is to use a protractor to draw the second ray so that the angle between the two rays equals the specified degree measure.
---
## 📐 Step-by-Step Instructions for Using a Protractor:
1. Place the protractor so that:
- The center point (small hole or mark) is directly over the vertex (the endpoint of the starting ray).
- The baseline of the protractor lines up with the starting ray (usually the 0° line).
2. Find the degree mark on the protractor corresponding to the angle you need to draw (e.g., 35°).
3. Make a small dot at that degree mark on the edge of the protractor.
4. Remove the protractor and use a ruler to draw a straight line from the vertex through the dot you made.
5. Label the angle if required (though not shown here).
> 💡 Tip: Always check whether you’re measuring clockwise or counterclockwise. Since all these angles are less than 180° and the starting ray points right, you’ll typically measure counterclockwise from the baseline (inner scale on most protractors).
---
## 🔢 Let’s go problem by problem:
1) 35°
- Place protractor, align baseline with starting ray.
- Find 35° on the protractor (inner scale, counterclockwise).
- Mark point, draw ray → forms 35° angle.
2) 10°
- Very small angle! Same steps.
- Mark 10° — it will be just slightly above the horizontal.
3) 145°
- This is obtuse. Still counterclockwise from starting ray.
- 145° is close to 150° — almost straight up but tilted left a bit.
4) 125°
- Also obtuse. Between 90° and 150°.
- Draw ray pointing upward-left.
5) 75°
- Acute angle, larger than 45°, smaller than 90°.
- Ray points upward-right.
6) 60°
- Classic angle — like in an equilateral triangle.
- Slightly steeper than 45°.
---
## 🖍️ Visual Tip (if you were drawing):
Imagine the starting ray is the “3 o’clock” position on a clock face.
- 0° = 3 o’clock
- 90° = 12 o’clock
- 180° = 9 o’clock
So:
- 35° → between 3 and 12, closer to 3
- 10° → barely off 3 o’clock
- 60° → halfway between 3 and 12
- 75° → closer to 12
- 125° → past 12, heading toward 9
- 145° → even closer to 9
---
## ✔ Final Answer (What You Should Do):
Since this is a hands-on worksheet, there’s no single “answer” to type — you must physically draw each angle using a protractor.
But if you’re asking for verification or guidance, here’s what each correct angle should look like:
| Problem | Angle | Description |
|---------|-------|-------------|
| 1 | 35° | Small acute angle, slightly up from horizontal |
| 2 | 10° | Very slight upward tilt |
| 3 | 145° | Large obtuse angle, pointing mostly left-up |
| 4 | 125° | Obtuse, pointing left-up but less than 145° |
| 5 | 75° | Steep acute angle, close to vertical |
| 6 | 60° | Medium steep angle, classic “60-degree” slope |
---
📌 Note: If you're submitting this digitally or need to show work, you might describe or sketch the angles, or take a photo after drawing them.
Let me know if you’d like printable instructions or a video tutorial link for using a protractor!
Happy measuring! 📏📐
Parent Tip: Review the logic above to help your child master the concept of 5th grade angle worksheet.