Answer:
64°
Explanation:
You want the measure of angle ZOX, the smaller of a linear pair marked (3x -2)° and (5x +6)°.
Linear pair
The angles of a linear pair are supplementary—they total 180°.
(5x +6) +(3x -2) = 180
8x +4 = 180 . . . . . simplify
8x = 176 . . . . . . subtract 4
x = 22 . . . . . . divide by 8
The measure of angle ZOX is ...
∠ZOX = (3x -2)° = (3·22 -2)°
∠ZOX = 64°
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Additional comment
Angle ZOY is ...
∠ZOY = (5·22 +6)° = 116°, the supplement of 64°.