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 straight lines cross at a point. Which statement about a pair of vertically opposite angles is always true?
- 2.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.
- 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 of the angles in a triangle are 50° and 70°. Work out the size of the third angle.
- 5.An angle measures 108°. Write down the name given to an angle of this size.
- 6.A regular polygon has 12 sides. Work out the size of one exterior angle of the polygon.
- 7.Which of these describes an obtuse angle?
- 8.A regular nonagon has 9 sides. Work out the sum of its interior angles.
- 9.Angle ABC is 130°. The line BF divides angle ABC into two equal parts. Work out the size of angle FBC.
- 10.A regular polygon has an interior angle of 156°. Work out the number of sides of the polygon.
- 11.Three angles lie on a straight line. They measure 38°, 95° and x°. Work out the value of x.
- 12.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°.
- 13.At a point on a straight line, two angles are formed. One of them is 63°. Work out the size of the other angle.
- 14.A straight transversal crosses a pair of parallel lines. At one crossing point, the angle between the transversal and a parallel line is 118°. Work out the size of the co-interior (allied) angle at the other crossing point.
- 15.Four angles meet at a point. Three of them measure 82°, 105° and 96°. Work out the size of the fourth angle.
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