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Measuring Angles with Protractors
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Measuring Angles with Protractors
Help plan a new adventure trail. Use a protractor to measure and draw angles, then apply angle facts. For drawing questions, show clear rays and label each angle.
Read the angles
Start by checking what each angle tells you.
1.At a trail junction, the turn from the north path to the east path is 90°. What type of angle is this?
- Acute
- Right
- Obtuse
- Reflex
2.Classify each angle as acute, right, obtuse or reflex: 38°, 90°, 146° and 225°. Write each measurement beside its type.
- 38°
- 90°
- 146°
- 225°
- Reflex
- Acute
- Right
- Obtuse
3.When measuring an angle, what must you line up with the angle's vertex, and what must you line up with one ray?
4.A protractor is placed on an angle. One ray points to 0° on the outer scale and the other ray crosses 124° on that scale. What is the angle? Include the degree symbol.
Trail-design workshop
Use a protractor and ruler where needed. Your drawing should be neat enough for another planner to measure.
5.Draw an angle of 48° and label it ∠ABC, with B as the vertex. Include the two rays.
6.Draw a 132° angle for a wide bend in the trail. Label the angle and show how you positioned the protractor.
7.Draw a reflex angle of 240°. Add an arrow or curved mark to show that you mean the larger turn, not the smaller angle between the rays.
8.A straight section of path is split by a signpost. One angle is 117°. Calculate the other angle on the straight line. Show your calculation.
9.Three trail directions meet at a post. Their angles around the point are 85°, 142° and x°. Find x. Show the total-turn fact you used.
10.At a map station, two adjacent angles make a right angle. One measures 34°. What is the other angle? Explain briefly.
11.A turn is measured as 310°. Is it acute, right, obtuse or reflex? How many degrees short of a full turn is it?
3 printable pages
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Page 2
Page 3
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