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.Two angles are supplementary. One of them is twice the size of the other. Work out the size of the smaller angle.
- 2.A regular nonagon has 9 sides. Work out the sum of its interior angles.
- 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.Two straight lines cross at a point. Which statement about a pair of vertically opposite angles is always true?
- 5.A regular polygon has an interior angle of 156°. Work out the number of sides of the polygon.
- 6.At a point on a straight line, two angles are formed. One of them is 63°. Work out the size of the other angle.
- 7.An angle measures 108°. Write down the name given to an angle of this size.
- 8.The sum of the interior angles of a polygon is 1980°. Work out the number of sides of the polygon.
- 9.Three angles lie on a straight line. They measure 38°, 95° and x°. Work out the value of x.
- 10.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°.
- 11.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.
- 12.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.
- 13.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.
- 14.Which of these describes an obtuse angle?
- 15.Angle ABC is 130°. The line BF divides angle ABC into two equal parts. Work out the size of angle FBC.
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