Use angle facts on straight lines, around points, in parallel lines and in polygons. The diagrams below show the given information; worked answers stay closed until you choose to view them.
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A sketch is not a reliable protractor. Use the stated measurements and geometric facts, even when an angle looks different on the screen.
Angles · No calculator · 3 marks
AOB is a straight line. The point C lies above the line.
Angle AOC = 5x° and angle COB = (4x − 9)°.
Work out the value of x. Give a reason for each stage of your working.
Angles in Parallel Lines · No calculator · 4 marks
AB and CD are parallel straight lines.
A straight line crosses AB at E and crosses CD at F. On line AB, A is to the left of E and B is to the right of E. On line CD, C is to the left of F and D is to the right of F.
Angle AEF = 62°.
Work out the size of angle CFE.
Give a reason for each stage of your working.
Angles in Polygons · No calculator · 2 marks
Each exterior angle of a regular polygon is 30°.
Work out the number of sides of the polygon.
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Display one diagram and ask pupils to name the usable facts before finding a missing angle. Zoom keeps small labels visible without adding solution values.
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