Question

what is the measure of angle x?
what is the measure of angle y?
what is the measure of angle z?

Explanation:

Step1: Find angle x (corresponding angles)

Since $AB \parallel CD$, $\angle x = 74^\circ$ (corresponding angles are equal)

Step2: Find angle z (linear pair)

$\angle z + 74^\circ = 180^\circ$
$\angle z = 180^\circ - 74^\circ = 106^\circ$

Step3: Find angle y (vertical angles)

$\angle y = 74^\circ$ (vertical angles are equal)

Answer:

Measure of angle x: $74^\circ$
Measure of angle y: $74^\circ$
Measure of angle z: $106^\circ$