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Angle Types and Properties
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Angle Types and Properties
Hollie, Nia and Callum are setting up the stage. Help them identify angles and use angle properties. Give angle answers in degrees (°).
Name and recognise angles
Use angle types to help the crew check their stage plans.
1.A spotlight turns through 38°. What type of angle has it turned through?
2.The scenery crew marks an angle of 146° on the floor plan. Is it acute, right, obtuse, straight or reflex?
- Acute
- Right
- Obtuse
- Straight
- Reflex
3.A wide spotlight sweep is 225°. Name this angle type.
4.Complete the crew’s angle guide: an acute angle is less than °.
5.Complete the crew’s angle guide: a right angle is °.
6.Complete the crew’s angle guide: an obtuse angle is greater than °.
7.Complete the crew’s angle guide: an obtuse angle is less than °.
8.Complete the crew’s angle guide: a straight angle is °.
9.Complete the crew’s angle guide: a reflex angle is greater than °.
10.Complete the crew’s angle guide: a reflex angle is less than °.
Work out the missing angles
Use what you know about angles on a straight line and angles around a point.
11.Two stage-floor angles sit on a straight line. One is 67° and the other is x°. Find x and state the angle property you used.
12.Three beams meet at one point. Their angles are 125°, 98° and y°. Find y.
13.Two straight stage bars cross. One of the angles is 52°. What is the size of the vertically opposite angle? Explain your answer.
14.Callum says, “If two angles add to 180°, they must both be obtuse.” Is he correct? Give a counterexample.
15.Nia has 155° of a full spotlight turn marked out. How many more degrees are needed to complete one full turn? Name the angle represented by the full turn.
16.Hollie needs a design with one acute angle, one right angle and one obtuse angle. Draw three labelled angles and write a suitable degree measure for each.
3 printable pages
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