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.
Angle facts, parallel lines and polygons worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.Three angles lie on a straight line. They measure 38°, 95° and x°. Work out the value of x.
- 2.A regular hexagon is divided into six identical triangles by joining its centre to each of the six vertices. Work out the size of the angle of one of these triangles at the centre of the hexagon.
- 3.Angle ABC is 130°. The line BF divides angle ABC into two equal parts. Work out the size of angle FBC.
- 4.Which of these describes an obtuse angle?
- 5.Two angles are supplementary. One of them is twice the size of the other. Work out the size of the smaller angle.
- 6.An angle measures 108°. Write down the name given to an angle of this size.
- 7.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°.
- 8.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.
- 9.At a point on a straight line, two angles are formed. One of them is 63°. Work out the size of the other angle.
- 10.A straight line crosses two parallel lines. An angle of 65° is formed at one crossing. At the other crossing, the angle that lies between the two parallel lines on the opposite side of the crossing line is also 65°. Write down the angle fact that explains why these two angles are equal.
- 11.A regular nonagon has 9 sides. Work out the sum of its interior angles.
- 12.Two straight lines cross at a point. Which statement about a pair of vertically opposite angles is always true?
- 13.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.
- 14.A regular polygon has an interior angle of 156°. Work out the number of sides of the polygon.
- 15.A regular polygon has an exterior angle of 45°. Work out the number of sides of the polygon.
Build your own mix at the worksheet builder.