How do you prove Converse have consecutive interior angles?

How do you prove Converse have consecutive interior angles?

In today’s lesson, we will show a simple method for proving the Consecutive Interior Angles Converse Theorem. 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).

How do you prove the same side of the interior?

Same side interior angles are on the same side of the transversal. Same side interior angles are congruent when lines are parallel.

Is same side interior angles congruent?

…Geometry.StatementsReasons1.l m cut by a transversal tGiven2.2 and 3 are same-side interior anglesDefinition of same-side interior angles6 more rows

What is the consecutive interior angles Converse theorem?

The converse of consecutive interior angle theorem states that if a transversal intersects two lines such that a pair of consecutive interior angles are supplementary, then the two lines are parallel.

How can you identify consecutive interior angles?

Therefore, the sum of any two adjacent angles of a parallelogram is equal to 180xb0. Hence, it is proved that any two adjacent or consecutive angles of a parallelogram are supplementary.

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