Starter quiz
- The sum of exterior angles for any polygon sum to...
- 90°
- 180°
- 270°
- 360° ✓
- 720°
-
- Which of these describe angles that are definitely equal to each other?
- Base angles of an isosceles triangle ✓
- Co-interior angles between parallel sides
- Exterior angles of a polygon
- Interior angles of a regular polygon ✓
- Opposite angles in a parallelogram ✓
-
The value of is ______.- '6' ✓
- What do the interior angles of a 72 sided polygon sum to?
- 102.22...°
- 360°
- 12 600° ✓
- 12 960°
- 36 000°
-
Find the value of . (Note: The diagram is not drawn to scale)- -2
- -0.5
- 0.5
- 1 ✓
- 2
-
Find the value of-
- 150 ✓
- 300
- 422
-
-
Exit quiz
The value of is ______.- '115' ✓
Find the value of .- 35 ✓
- 70
- 110
-
The value of is ______.- '40' ✓
The value of is ______.- '39' ✓
The diagram is not drawn accurately. AC is a line segment and ∠DBA : ∠CBD = 3 : 1. Which equation can be formed from this information?-
-
- ✓
-
-
The value of is ______.- '126' ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Problems can be solved using parallel line angle facts.
- Problems can be solved using interior and exterior angles of polygons.
- Problems can be solved and the solution justified using angle facts.
Common misconception
Lines cannot be added to the given diagram.
Often adding additional or found information to a given diagram can help progress towards a solution. Pupils should not be afraid to extend given line segments nor add notation if appropriate.
Keywords
Alternate angles - Alternate angles are a pair of angles both between or both outside two line segments that are on opposite sides of the transversal that cuts them.
Interior angle - An interior angle is an angle formed inside a polygon by two of its edges.
Exterior angle - An exterior angle is an angle on the outside of a polygon between an extension of an edge and the adjacent edge.
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