Sectieoverzicht
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When two lines are cut by a transversal, corresponding, alternate and co-interior angles are always created. A line that intersects other lines is called a transversal. In the figure below, EF is a transversal intersecting the lines AB and BC.
If the lines being cut by the transversal are parallel, then the corresponding angles are equal, the alternate angles are equal and the co-interior angles are supplementary.
By the same logic, if the corresponding angles are equal, or the alternate angles are equal or the co-interior angles are supplementary, then the lines are parallel.
For a summary of the angles created by parallel lines and to see which angles are equal, watch the video called Angles In Parallel Lines.
Complete the next exercise to test your knowledge.-
Exercise: Find angles between parallel lines
Complete the exercise Parallel lines to check that you understand how to find unknown angles between parallel lines.
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