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Angles Worksheets | Free - CommonCoreSheets - Free Printable

Angles Worksheets | Free - CommonCoreSheets

Educational worksheet: Angles Worksheets | Free - CommonCoreSheets. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Angles Worksheets | Free - CommonCoreSheets
Let’s go through each angle one by one. You’re given a straight line (like the bottom of a clock at 3 o’clock) and you need to draw another line from the same starting point to make the exact angle shown.

We’ll use a protractor for each — imagine placing it on the dot where the line starts, with the 0° mark lined up along the existing line. Then find the degree number they gave you and draw a new line there.

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1) 35°

- Put your protractor’s center on the dot.
- Line up the 0° with the existing line (pointing right).
- Find 35° going counterclockwise (upward).
- Draw a line from the dot through that 35° mark.

Done! That’s your 35° angle.

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2) 10°

- Same setup: protractor centered, 0° aligned with the line.
- This time, 10° is very close to the original line — just a tiny bit upward.
- Mark 10° and draw the line.

Very small angle — almost flat, but slightly tilted up.

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3) 145°

- Again, start with protractor centered and 0° on the line.
- Now, 145° is more than halfway around — past 90° (straight up), almost to 180° (backwards).
- Go counterclockwise until you hit 145°.
- Draw the line.

This will look like a wide “V” opening to the left.

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4) 125°

- Similar to above, but not quite as wide.
- 125° is between 90° and 180° — so still pointing left-up, but not as far as 145°.
- Measure carefully from 0°, go counterclockwise to 125°, draw line.

Slightly less open than #3.

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5) 75°

- Start again: protractor centered, 0° on the line.
- 75° is less than 90° — so it’s in the upper-right area, but closer to vertical than horizontal.
- Mark 75° and draw.

Looks like a steep ramp going up to the right.

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6) 60°

- Even simpler — 60° is exactly halfway between 0° and 90°? No — wait, 45° is halfway. So 60° is a bit steeper than halfway.
- From 0°, go up to 60° and draw.

Classic triangle angle — think of an equilateral triangle corner.

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You don’t need to calculate anything here — just measure and draw using your protractor. Make sure your lines are straight and start from the dot!

Final Answer:
For each problem, use a protractor to draw a second ray from the endpoint of the given ray, measuring the specified angle (35°, 10°, 145°, 125°, 75°, or 60°) counterclockwise from the original ray.
Parent Tip: Review the logic above to help your child master the concept of measure and draw angles worksheet.
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