two lines are intersected by a third line. if ∠2 ≅ ∠6, which must be true about ∠2? ∠2 ≅ ∠5 ∠2 is…

two lines are intersected by a third line. if ∠2 ≅ ∠6, which must be true about ∠2? ∠2 ≅ ∠5 ∠2 is complementary to ∠5. m∠2 = m∠8 ∠2 is supplementary to ∠8.

two lines are intersected by a third line. if ∠2 ≅ ∠6, which must be true about ∠2? ∠2 ≅ ∠5 ∠2 is complementary to ∠5. m∠2 = m∠8 ∠2 is supplementary to ∠8.

Answer

Explanation:

Step1: Recall angle - relationship rules

When two lines are intersected by a transversal, if $\angle2=\angle6$, the two lines are parallel. $\angle2$ and $\angle8$ are vertical - angles.

Step2: Use vertical - angle property

Vertical angles are congruent. So, if $\angle2$ and $\angle8$ are vertical angles, then $m\angle2 = m\angle8$.

Answer:

$m\angle2=m\angle8$