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
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- 1.Two angles are complementary. One of them is 35°. Work out the size of the other angle.
- 2.A regular nonagon has 9 sides. Work out the sum of its interior angles.
- 3.A regular polygon has an interior angle of 156°. Work out the number of sides of the polygon.
- 4.A conservatory has a roof panel shaped like a regular octagon. Work out the interior angle of the octagon, then use it to work out the size of the reflex angle at the same vertex, on the outside of the roof panel.
- 5.Which of these describes an obtuse angle?
- 6.Four angles meet at a point. Three of them measure 82°, 105° and 96°. Work out the size of the fourth angle.
- 7.At a point on a straight line, two angles are formed. One of them is 63°. Work out the size of the other angle.
- 8.Two angles are supplementary. One of them is twice the size of the other. Work out the size of the smaller angle.
- 9.The sum of the interior angles of a polygon is 1980°. Work out the number of sides of the polygon.
- 10.A regular polygon has 12 sides. Work out the size of one exterior angle of the polygon.
- 11.Two straight lines cross at a point. Which statement about a pair of vertically opposite angles is always true?
- 12.In triangle ABC, angle A is 2x°, angle B is 3x° and angle C is 4x°. Work out the size of angle B.
- 13.Three angles lie on a straight line. They measure 38°, 95° and x°. Work out the value of x.
- 14.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.
- 15.An angle measures 108°. Write down the name given to an angle of this size.
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