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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°.)

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step-by-step explanation:

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