Question

If a pair of alternative angle formed by a transversal of two line is congruent then the two lines are parallel​

Answer 1

Answer:

Euclid's Proposition 27 states that if a transversal intersects two lines so that alternate interior angles are congruent, then the lines are parallel. ... Then one of the alternate angles is an exterior angle equal to the other angle which is an opposite interior angle in the triangle.

Step-by-step explanation:

Answer 2

When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles . If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary .

Euclid's Proposition 27 states that if a transversal intersects two lines so that alternate interior angles are congruent, then the lines are parallel. ... Then one of the alternate angles is an exterior angle equal to the other angle which is an opposite interior angle in the triangle.