Missing angles
I can solve problems that require a combination of angles facts to identify values of missing angles, providing explanations of reasoning and logic used.
Missing angles
I can solve problems that require a combination of angles facts to identify values of missing angles, providing explanations of reasoning and logic used.
Lesson details
Key learning points
- Missing angles can be found using parallel lines.
- Missing angles can be found using facts about triangles.
- Missing angles can be found in polygons using knowledge of exterior and interior angles.
- The relationship between interior and exterior angles can be used to find missing angles.
- Missing angles can be found by using a combination of all known facts.
Keywords
Corresponding angles - A pair of angles at different vertices on the same side of a transversal in equivalent positions.
Alternate angles - A pair of angles both between or both outside two line segments that are on opposite sides of the transversal that cuts them.
Co-interior angles - Co-interior angles are on the same side of the transversal line and in between the two other lines.
Interior angles - 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 its adjacent edge.
Common misconception
Pupils may work out missing angles without writing out their justifications.
Each time a number which is not on the original diagram is used or found, an explanation should be given for where it has come from.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.In which cases are the angles always equal to each other?
Q2.Co-interior angles on parallel lines sum to °.
Q3.Which angle is 97°?

Q4.Match each shape with the sum of its interior angles.
1440°
900°
720°
1260°
1080°
540°
Q5.∠ACE = ∠FEC because .

Q6.Which angle is co-interior to ∠ACE?

Assessment exit quiz
6 Questions
Q1.∠ABG = 112°. Based on this information, which justification could be used to explain why ∠CBG = 68°?

Q2.Which justification could be used to explain why ∠CGF = ∠GCD?

Q3.Match each statement with its justification.

alternate angles in parallel lines are equal
corresponding angles in parallel lines are equal
vertically opposite angles are equal
adjacent angles on a straight line sum to 180°
co-interior angles in parallel lines sum to sum to 180°
Q4.Given ∠EGC = 82°, then ∠CGB = °.

Q5.The pentagon in the image is regular. The size of the shaded angle is °.

Q6.The image shows a regular pentagon and a regular hexagon. The size of the shaded angle is °.
