Answer:
a) X = 65°
b) Y = 71°
c) Z = 44°
Step-by-step explanation:
a) X is a vertical angle with the one marked 65°, so has that same measure.
b) Y is an opposite interior angle with the one marked 71° where the transversal between angles Y and Z crosses the parallel lines. That makes it have the measure 71°.
c) Z is the third angle of a triangle with the other two angles being 65° and 71°, so it is 180° -65° -71° = 44°. (The sum of angles of a triangle is 180°.)