If a transversal intersects two parallel lines, then each pair of interior angles are supplementary. Prove the given statement.
Define interior angles and prove they are supplementary
Interior angles are the angles formed between two parallel lines on the same side of a transversal when a transversal crosses a pair of parallel lines.
Let and be two parallel lines and be the transversal which intersects these lines at points
In the figure and are the pairs of interior angles.
To Prove: or
Proof:
As ray stands on a straight line the sum of the angles created by it is
corresponding angles
In a similar way it can also be proved that
Hence , it is proved that each pair of interior angles is supplementary