Finding angles between linesAngles made by parallel lines

Complementary angles form a right angle. Supplementary angles form a straight line. Parallel lines in shapes can form corresponding and alternate angles. You can use these properties to find missing angles.

Part ofMathsAngle, symmetry and transformation

Angles made by parallel lines

Parallel lines are straight lines which have the same direction and so never meet. Arrowheads show lines are parallel.

Two parallel lines with arrows pointing left to right

A straight line that cuts a pair of parallel lines is called an intersecting transversal.

Two parallel lines, intersected by another line

When a pair of parallel lines meet an intersecting transversal, pairs of angles with particular properties are made.

Corresponding angles

Corresponding angles are equal. The lines make an F shape. Notice that the F shape can be upside down or back to front.

Angles produced along a line, which is intersecting 2 parallel lines are identical

Alternate angles

Alternate angles are equal. The lines make a Z shape which can also be back to front.

Opposite angles on a set of parallel lines

Vertically opposite angles

We've already seen that intersecting lines create vertically opposite angles that are equal. The lines make an X shape.

Opposite angles produced by a line intersecting 2 parallel lines are identical

Co-interior angles

Co-interior angles add up to 180°. The lines make a C shape which can also be back to front.

Finding angles diagram