Starter quiz
- Complete the sentence: The two angles of 44° and 136° are ____________ with each other.
- right angled
- complementary
- supplementary ✓
- conjugate
- opposite
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- The size of angle is measured accurately. Which of these statements could be accurate for angle ?
- angle is acute
- angle is obtuse ✓
- angle is reflex
- angle is 36°
- angle is 144° ✓
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- Match the angle name to its size.
- acute⇔11.7° ✓
- right angle⇔90° ✓
- obtuse⇔117° ✓
- reflex⇔217° ✓
- one full turn⇔360° ✓
- Match the pairs of angles to their description.
- 30° and 60°⇔lie on a right angle ✓
- 45° and 135°⇔supplementary angles ✓
- 120° and 240°⇔conjugate angles ✓
- 120° and 140°⇔two random angles ✓
- Which of these statements about this diagram are accurate?
- Angles ° and 172° are supplementary angles.
- Angles ° and 172° are conjugate angles. ✓
- = 188. ✓
- is a minor angle.
- is a major angle. ✓
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- QR is a line segment. Find the value of .
- '260' ✓
Exit quiz
- TU is a line segment. Angle ° = ______°.
- '40' ✓
- These three angles lie around a point on a full turn. Angle ° is ______°.
- '100' ✓
- This diagram shows four angles around two line segments that meet at an intersection. Which of these statements are correct for angle °?
- Angle ° and 59° are supplementary. ✓
- Angle ° and 59° are vertically opposite.
- Angle ° is 59°.
- Angle ° is 121°. ✓
- Angle °is 301°.
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- This diagram shows four angles around two line segments that meet at an intersection. Which of these statements are correct for angle ?
- Angle ° and 59° are supplementary.
- Angle ° and 59° are vertically opposite. ✓
- Angle ° is 59°. ✓
- Angle ° is 121°.
- Angle ° is 301°.
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- PQ and RS are straight line segments. Angle ° = ______°.
- '78' ✓
- PQ and RS are straight line segments. Match each angle to its size.
- °⇔128° ✓
- °⇔52° ✓
- °⇔38° ✓
- right angle⇔90° ✓
- not an angle on the diagram⇔32° ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- The sum of angles at a point can be used to find missing angles.
- The angle sum of a straight line can be used to find missing angles.
- Vertically opposite angles can be used to find missing angles.
- The size of missing angles can be justified by using known facts.
Common misconception
Angles on a straight line sum to 180°
Angles on a straight line only sum to 180° if all of those angles share a common vertex. Show two angles "on a line" at different points.
Keywords
Vertical angles - Vertical angles are pairs of opposite angles formed when two lines intersect at a point. They are equal.
Vertex - A vertex is the point where two or more line segments meet. The plural is vertices.
Similar - Two shapes are similar if the only difference between them is their size. Their side lengths are in the same proportions.
Supplementary angles - Supplementary angles are a pair of angles that sum to 180°.
Conjugate angles - Conjugate angles are a pair of angles that sum to 360°.
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