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Measuring Angles
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Measuring Angles
Solve each angle challenge. Show your working for calculations. Use a protractor where asked, and include the degree symbol (°) in answers.
Recognise and measure
1.A surveyor is checking a ramp design. Which description fits an angle of 128°?
- Acute
- Right
- Obtuse
- Reflex
2.Use a protractor to measure the angle shown. Record your measurement to the nearest degree, then classify it.
3.A straight road junction has two adjacent angles. One is 67°. Calculate the other angle, x.
4.Two paths cross at a park entrance. The angle at the top is 74°. What is the vertically opposite angle? Explain the angle fact you used.
Plan, reason and solve
5.A camera turns through 360° to scan a field. It has already turned through 85°, 140° and 62°. How many degrees remain for one complete turn?
6.A roof truss has an angle labelled (3x + 15)° and its adjacent angle on a straight line is (2x + 5)°. Find x and both angles.
7.A student measures an angle as 92°. Is it acute, right, obtuse or reflex? State the boundary that distinguishes this type from a right angle.
8.A builder wants to check a corner that should be exactly 90°. Describe how to position a protractor to measure the corner accurately.
9.Draw an angle of 215° with a protractor. Is it acute, right, obtuse or reflex? Then calculate the smaller angle between the same two arms.
3 printable pages
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Page 3
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