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Measuring Angles
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Measuring Angles
Solve each angle puzzle. Show calculations where asked. Classify angles as acute (less than 90°), right (90°), obtuse (between 90° and 180°), straight (180°) or reflex (between 180° and 360°).
Angle investigation
1.A robotic arm rotates through 38°. What type of angle is this?
2.A solar panel is tilted at 124° from its starting direction. Choose the correct classification.
- Acute
- Right
- Obtuse
- Reflex
3.A turntable completes 360° in one rotation. How many degrees are in three-quarters of a rotation, and what type of angle is it?
4.Two adjacent angles lie on a straight line. One is 67°. Find the other angle and state the angle relationship used.
5.A four-way road junction has three angles around its centre measuring 82°, 96° and 111°. Calculate the fourth angle.
6.Two straight lines cross. One angle is 48°. Find the vertically opposite angle, then find each adjacent angle.
7.A triangular sail has angles of 52° and 71°. Calculate the third angle. Explain why your method works.
8.A clock reads 4:00. The minute hand points to 12 and the hour hand points to 4. Find the smaller angle between the hands and classify it.
9.A student measures an angle with a protractor. Describe two steps that help ensure the measurement is accurate.
10.Design a pair of angles on a straight line so one is three times the other. Find both angles and check that your answers fit the relationship.
2 printable pages
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