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 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.
- 2.Two straight lines cross at a point. Which statement about a pair of vertically opposite angles is always true?
- 3.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.
- 4.Four angles meet at a point. Three of them measure 82°, 105° and 96°. Work out the size of the fourth angle.
- 5.Two of the angles in a triangle are 50° and 70°. Work out the size of the third angle.
- 6.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.
- 7.Angle ABC is 130°. The line BF divides angle ABC into two equal parts. Work out the size of angle FBC.
- 8.A regular polygon has 12 sides. Work out the size of one exterior angle of the polygon.
- 9.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.
- 10.A regular polygon has an interior angle of 156°. Work out the number of sides of the polygon.
- 11.Two angles are supplementary. One of them is twice the size of the other. Work out the size of the smaller angle.
- 12.At a point on a straight line, two angles are formed. One of them is 63°. Work out the size of the other angle.
- 13.The sum of the interior angles of a polygon is 1980°. Work out the number of sides of the polygon.
- 14.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.
- 15.Three angles lie on a straight line. They measure 38°, 95° and x°. Work out the value of x.
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