Question

which set of angles are congruent to angle y? 2, z, 1; y, 1, 4; a, 3, 1; 1, x, z

Explanation:

Step1: Recall angle - congruence rules

When two parallel lines are cut by a transversal, vertical angles are congruent and corresponding angles are congruent.

Step2: Analyze the position of angle Y

Assume the two vertical lines are parallel and the diagonal line is a transversal. Angle Y and angle 1 are vertical angles, so $\angle Y\cong\angle1$. Also, if we consider the parallel - line and transversal relationship, angle 1 and angle A are corresponding angles, and angle 1 and angle 4 are also related by parallel - line properties (assuming appropriate parallel lines and transversal).

Answer:

A. 3, 1