Consecutive Interior Angle Theorem

When two lines are crossed by another line called the transversal the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles.

Consecutive interior angle theorem. The theorem tells us that angles 3 and 5 will add up to 180 degrees. We will show that if the consecutive interior angles on the same side of a transversal line intersecting two lines are supplementary then the two lines are parallel. The consecutive interior angles theorem states that the two interior angles formed by a transversal line intersecting two parallel lines are supplementary i e.

They sum up to 180. Consecutive interior angles theorem. The problem ab cd prove m 5 m 4 180 and that m 3 m 6 180.

When two lines are cut by a transversal the pair of angles on one side of the transversal and inside the two lines are called the consecutive interior angles. This theorem states that if two lines are cut by a transversal so that the consecutive interior angles are supplementary then the lines are said to be parallel. Consecutive interior angles converse if corresponding angles are congruent then the two lines are if each pair of alternate interior angles is congruent then t.

The consecutive interior angles theorem states that when the two lines are parallel then the consecutive interior angles are supplementary to each other. Supplementary means that the two angles. The consecutive interior angles theorem states that when the two lines are parallel then the consecutive interior angles are supplementary to each other.

The consecutive interior angles theorem states that the consecutive interior angles on the same side of a transversal line intersecting two parallel lines are supplementary that is their sum adds up to 180. Here we will prove its converse of that theorem. In the figure the angles 3 and 5 are consecutive interior angles.

Also the angles 4 and 6 are consecutive interior angles.