g || h by the converse of the Alternate Interior Angles Theorem.
The Converse of the Alternate Interior Angles Theorem states that if two lines are cut by a transversal such that a pair of alternate interior angles are congruent, then the lines are parallel. Given that m∠1 + m∠2 = 180, we can see that ∠2 is an alternate interior angle to both angles on the left. Therefore, the lines g and h are parallel.
Which lines are parallel if m∠1 + m∠2 = 180? Justify your answer. * 1 point
j || k by the converse of the Same-Side Interior Angles Theorem.
j || k by the converse of the Alternate Interior Angles Theorem.
g || h by the converse of the Alternate Interior Angles Theorem.
g || h by the converse of the Same-Side Interior Angles Theorem.
1 answer