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are equal.
i.e., ∠4 = ∠6 and ∠3 = ∠5
(iii) If a transversal intersects two parallel lines, then each pair of interior angles on the
same side of the transversal(Co-interior angles)are supplementary.
i.e., ∠4 + ∠5 = 180° and ∠3 + ∠6 = 180°
Converse Properties of Parallel Lines
(i)If a transversal intersects two lines such that a pair of corresponding angles is equal,
then the two lines are parallel to each other.
(ii)If a transversal intersects two lines such that a pair of alternate interior angles is
equal, then the two lines are parallel.
(iii)If a transversal intersects two lines such that a pair of interior angles on the same
side of the transversal is supplementary, then the two lines are parallel.
Corresponding Angle Axiom
Axiom 6.3:
If a transversal intersects two parallel lines, then each pair of corresponding angles
are equal.
This axiom is called corresponding angle axiom.
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