Question

11 part 1 (scroll down for part 2!) (a) for the following diagram, what angle - pair are the marked angles? a alternate exterior b alternate interior c same side interior d corresponding (b) part 2 what is the measure of the missing angle?

Explanation:

Step1: Recall angle - pair definitions

Alternate exterior angles are outside the parallel lines and on opposite sides of the transversal. Alternate interior angles are between the parallel lines and on opposite sides of the transversal. Same - side interior angles are between the parallel lines and on the same side of the transversal. Corresponding angles are in the same relative position with respect to the parallel lines and the transversal.

Step2: Analyze the marked angles in (a)

Since no angles are marked in the diagram for part (a), we assume a general knowledge - based approach. But if we consider the types of angle - pairs given in the options, we note that when two parallel lines are cut by a transversal, corresponding angles have the same relative position. For example, if we have two parallel lines and a transversal, an angle in the upper - left corner of one intersection and an angle in the upper - left corner of the other intersection are corresponding angles.

Step3: Analyze part (b)

The two parallel lines are cut by a transversal. The given angle of \(110^{\circ}\) and the missing angle are corresponding angles. Corresponding angles are congruent when two parallel lines are cut by a transversal.

Answer:

(a) D. Corresponding
(b) \(110\)