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.
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.
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
This lesson includes a short quiz. Start the lesson to answer it and track your progress.
All lessons in Angles
1Meet the Angle
Your First AngleNaming AnglesDegrees and the Full TurnAcute, Right, ObtuseAdding Adjacent AnglesRecap: Adjacent Angles4Vertical Angles
Two Lines CrossVertical Angles Are EqualSolving with VerticalsAll Four AnglesRecap: At the Crossing7Parallels and Transversals
Parallel LinesCorresponding AnglesAlternate AnglesCo-interior AnglesWhich Rule Is ItRecap: The Three Pairs2Angles on a Straight Line
Angles on a LineSupplementary AnglesThree Angles on a LineWrite the EquationRecap: Along the Line5Around a Point
Angles Around a PointThe Missing AngleEqual SlicesFour Angles, One PointRecap: The Full Turn3Right Angles and Complements
The Square MarkComplementary AnglesPerpendicular LinesFinding the ComplementEqual Parts of a CornerRecap: The Right Corner6The Angle Bisector
The Angle BisectorBisected ExpressionsBisecting a Straight AngleRecap: Split in Half