Question

1. why is the angle on the top right of the intersection x? alt. int. angles are congruent alt. ext angles are congruent corresponding angles are congruent consecutive exterior are supplementary

Explanation:

When two parallel lines are cut by a transversal, alternate exterior angles are non - adjacent and lie outside the two parallel lines but on opposite sides of the transversal. In the given figure, the two angles labeled \(x\) are non - adjacent, lie outside the relevant parallel - like structure (implied by the context of angle congruence in such setups) and on opposite sides of the transversal (the intersecting line). So, by the Alternate Exterior Angles Theorem, they are congruent.

Answer:

Alt. Ext. Angles are Congruent