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Angles and Parallel Lines

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Angles and Parallel Lines

A road planner is checking where a straight road crosses two parallel streets. Use the angle rules to work out the missing angles. Show your calculations where asked.

Know the angle rules

When a transversal crosses parallel lines, compare the positions of the angles and use the relationships between them. Also remember that vertically opposite angles are equal, and angles on a straight line add to 180°.

1.Match each angle relationship to its rule.
  • Corresponding angles
  • Alternate interior angles
  • Co-interior angles
  • Equal
  • Equal
  • Add to 180°
2.Two parallel streets are crossed by a straight road. One angle is 68°. What is the size of the corresponding angle?
  • 22°
  • 68°
  • 112°
  • 180°
3.An alternate interior angle is 124°. What is the size of the other angle in the pair?
4.Two co-interior angles are 73° and x°. Find x.
5.Which statement is false when a transversal crosses two parallel lines?
  • Corresponding angles are equal.
  • Co-interior angles add to 180°.
  • Alternate interior angles are equal.
  • Every angle formed is equal to every other angle.
6.A transversal crosses two parallel lines. One of the angles is 56°. What are the sizes of the other seven angles? Group equal angles together.
7.Two co-interior angles are (3x + 15)° and (2x + 40)°. Find x, then calculate both angles.
8.One angle at an intersection is 131°. Find the acute angle next to it on the same straight line.
9.Complete the sentence: Co-interior angles on the same side of a transversal add up to degrees.
10.Alfie says, “If one angle made by a transversal is 72°, all eight angles must be 72°.” Explain why Alfie is mistaken, and give the two angle sizes that actually appear.
11.Draw two parallel lines crossed by a transversal. Mark one pair of corresponding angles, one pair of alternate interior angles, and one pair of co-interior angles. Label each pair clearly.

3 printable pages

  • Angles and Parallel Lines, page 1 of 3: Know the angle rules

    Page 1

  • Angles and Parallel Lines, page 2 of 3: 5. Which statement is false when a transversal crosses two parallel lines?

    Page 2

  • Angles and Parallel Lines, page 3 of 3: 11. Draw two parallel lines crossed by a transversal. Mark one pair of corresponding…

    Page 3

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