Question

2 which theorem would be used to write 4x + 4 = 92 in the diagram below? congruent angles consecutive exterior angles alternate interior angles complementary angles

Explanation:

Step1: Recall alternate interior angles definition

Alternate interior angles are formed when a transversal crosses two parallel lines. They are non - adjacent and lie between the two parallel lines on opposite sides of the transversal. And alternate interior angles are congruent.
In the given diagram, assuming the two horizontal lines are parallel and the vertical line is a transversal, the angle \((4x + 4)^{\circ}\) and \(92^{\circ}\) are alternate interior angles.
Since alternate interior angles are congruent, we can set up the equation \(4x+4 = 92\).

Answer:

alternate interior angles