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Angle Properties and Measurement
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Angle Properties and Measurement
Help Hugo and Mele plan a safe, efficient layout for a community food bank. Use angle facts to solve each problem. Show working for calculations and include the degree symbol (°) in angle answers.
Recognise and measure angles
Start by identifying angle types and reading the diagrams.
1.Hugo checks a ramp entrance that makes an angle of 38° with the floor. Which type of angle is it?
- Acute
- Right
- Obtuse
- Reflex
2.Mele measures the corner of a square storage box. State the angle size and explain why every corner of a square has this size.
3.The two shelves in this diagram meet at the marked angle. Measure the angle with a protractor and classify it.
Use angle properties
Apply facts about straight lines, points, triangles and intersecting lines.
4.Aisle markings meet at a point. Three angles around that point are 85°, 140° and x°. Find x.
5.A straight line on the food bank floor is crossed by a tape line. One angle is 67°. Find the adjacent angle on the straight line.
6.Two floor lines cross. One angle is 72°. What is the vertically opposite angle? Give the angle fact that supports your answer.
7.A triangular sign for the collection point has two interior angles of 48° and 71°. Calculate its third interior angle.
8.True or false? If one angle formed by two intersecting straight lines is 118°, each of the two adjacent angles is 62°. Give a calculation to justify your answer.
Solve a design challenge
Use algebra and clear reasoning to check a practical layout.
9.A triangular sign has angles x°, (x + 20)° and (2x − 10)°. Find x and the size of all three angles. Check that your angles form a triangle.
10.Losa says, “A protractor reading that is 2° out will never matter in a building layout.” Do you agree? Give one practical reason for your view.
2 printable pages
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