Printable · GCSE Foundation · ages 14-16
Angle facts, parallel lines and polygons worksheet — GCSE Foundation
Fifteen questions on "angle facts, parallel lines and polygons" — DfE statement G3. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Non-calculator
Angle facts, parallel lines and polygons worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.A straight line crosses a pair of parallel lines. One of the co-interior (allied) angles is 118°. Work out the size of the other co-interior angle.
- 2.In triangle ABC the angle at A and the angle at C are equal. The side AB is extended beyond B, and the exterior angle formed at B measures 98°. Work out the size of the angle at A.
- 3.Two of the angles in a triangle are 50° and 70°. Work out the size of the third angle.
- 4.A regular polygon has an interior angle of 156°. Work out the number of sides of the polygon.
- 5.Two straight lines cross at a point. Which statement about a pair of vertically opposite angles is always true?
- 6.The interior angles of a pentagon are 100°, 110°, 120°, x° and x°. Work out the size of each of the two angles marked x°.
- 7.An angle measures 108°. Write down the name given to an angle of this size.
- 8.A regular polygon has 12 sides. Work out the size of one exterior angle of the polygon.
- 9.Four angles meet at a point. Three of them measure 82°, 105° and 96°. Work out the size of the fourth angle.
- 10.At a point on a straight line, two angles are formed. One of them is 63°. Work out the size of the other angle.
- 11.Three angles lie on a straight line. They measure 38°, 95° and x°. Work out the value of x.
- 12.A straight line crosses a pair of parallel lines. At one of the crossing points, one of the four angles measures 55°. Work out the size of the angle next to it on a straight line at that crossing point.
- 13.Freya is designing a triangular flower bed. Two of its corners have equal angles, and the angle at the third corner is 40°. Work out the size of one of the two equal corner angles.
- 14.A regular polygon has an exterior angle of 45°. Work out the number of sides of the polygon.
- 15.A ramp's sloped surface crosses two horizontal parallel rails. At the top rail, the angle between the ramp and the rail on the right of the ramp is (3x + 10)°. At the bottom rail, the angle between the ramp and the rail on the left of the ramp is (5x − 30)°. Work out the value of x.
Build your own mix at the worksheet builder.