Math Playground
Geometry

Co-interior angles

Same-side interior angles add to 180° on parallel lines.

Also called co-interior or same-side interior angles. On two parallel lines cut by a transversal, the two interior angles on the *same* side of the transversal don't match — instead they add up to 180°. They make a C-shape (or U-shape).

Drag the ray
110°
110°
obtuse angle
supplement = 70°

The C-rule

  • Both angles are between the parallel lines.
  • Both on the same side of the transversal.
  • They are supplementary — they sum to 180°.
  • Conversely, if a pair of co-interior angles sums to 180°, the lines are parallel.
Your turn

Two co-interior angles on parallel lines: one is 110°. Find the other.

Watch out

Easy to mix up: alternate interior angles (opposite sides, Z-shape) are *equal*; co-interior angles (same side, C-shape) *add to 180°*. Different sides → different rule.