Question

Which lines can you conclude are parallel given that m∠7 + m∠11 = 180? Justify your conclusion with a theorem.

Line a is parallel to line b by the Converse of the Alternate Interior Angles Theorem.

Line a is parallel to line b by the Converse of the Same-Side Interior Angles Theorem.

Line c is parallel to line d by the Converse of the Alternate Interior Angles Theorem.

Line c is parallel to line d by the Converse of the Same-Side Interior Angles Theorem.7 + m∠

Answer 1

Line a is parallel to line b by the Converse of the Same-Side Interior Angles Theorem.

Explanation:

find out the statement that conclude are parallel given that m∠7 + m∠11 = 180

angle 7 and 11 are the consecutive interior angles . that is same side interior angles.

angle 7 and 11 are the consecutive interior angles and they are supplementary when the lines are parallel.

Line a is parallel to line b by the Converse of the Same-Side Interior Angles Theorem.