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Angles in Parallel Lines

Angles in Parallel Lines

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Lesson

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7 minute activity

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Parallel lines stay the same distance apart and never meet. We write AB∥CDAB \parallel CDAB∥CD when two lines are parallel.

A transversal is a line that cuts across two or more lines. Before using parallel-line rules, keep basic facts ready: angles on a straight line add to 180∘180^\circ180∘, vertically opposite angles are equal, and angles in a triangle add to 180∘180^\circ180∘.

In a written solution, each new angle needs a reason. Common reasons include angles on a straight line, vertically opposite, corresponding, alternate, co-interior, and angles in a triangle.

Questions

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23 exam-style questions

Practice questions

Question 1

3 marks

AB AB\,AB and CD CD\,CD are parallel. Angle HIK=75∘HIK = 75^\circHIK=75∘ Angle BFH=40∘BFH = 40^\circBFH=40∘

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What is the angle sum on a straight line?

Angles in Parallel Lines Revision Guide

  1. GCSE
  2. /Maths
  3. /Angles in Parallel Lines

Revision notes for WJEC GCSE Maths Angles in Parallel Lines: explanations and worked examples.

Practise questions

1 of 4

Two parallel lines are cut by a transversal. The top-right angle at the upper intersection is 72∘72^\circ72∘, and xxx is the top-right angle at the lower intersection. What is xxx?