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.
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Angle facts, parallel lines and polygons worksheet — GCSE Foundation
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- 1.A regular polygon has 12 sides. Work out the size of one exterior angle of the polygon.
- 2.Two angles are complementary. One of them is 35°. Work out the size of the other angle.
- 3.A transversal crosses a pair of parallel lines. At one line, the angle is (5x + 4)°. The corresponding angle at the other line is (3x + 24)°. Work out the value of x.
- 4.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.
- 5.Two identical ladders lean against the same vertical wall from opposite sides, each making an angle of 58.2° with the ground. The two ladders and the ground form a triangle. Work out the size of the angle between the two ladders at the top, where they meet.
- 6.A straight line crosses two parallel lines. One of the angles formed is (2x + 10)°, and the angle alternate to it is 74°. Work out the value of x.
- 7.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.
- 8.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°.
- 9.Four angles meet at a point. Three of them measure 82°, 105° and 96°. Work out the size of the fourth angle.
- 10.A regular polygon has an exterior angle of 45°. Work out the number of sides of the polygon.
- 11.An angle measures 108°. Write down the name given to an angle of this size.
- 12.A regular polygon has an interior angle of 156°. Work out the number of sides of the polygon.
- 13.A regular nonagon has 9 sides. Work out the sum of its interior angles.
- 14.Two of the angles in a triangle are 50° and 70°. Work out the size of the third angle.
- 15.Three angles lie on a straight line. They measure 38°, 95° and x°. Work out the value of x.
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