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Two Lines Cross

Part of the Angles section of Coddy's Geometry journey. Lesson 18 of 63.

When two straight lines cross, they make four angles at the crossing point. Each angle has two neighbours and one angle facing it across the point.

Two lines crossing at B, the four angles numbered 1 to 4 in turn

Neighbours, like ∠1 and ∠2, share an arm, and their outside arms lie along one line. They are a linear pair, so they add up to 180°. Opposite angles, like ∠1 and ∠3, touch only at the point: their arms point in exactly opposite directions. These are vertical angles. So are ∠2 and ∠4.

Say the pairs by their arms, not by where they sit on the page. A crossing can be turned any way, and the opposite angle is still the one whose arms continue the first angle's arms through the point.

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Challenge

The lines PQ and RS cross at O. Tap the angle vertical to ∠1, the one facing it across O, then press Check.

Try it yourself

Find the right part on the figure

Find the right part on the figure

quiz iconTest yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Angles