Choice D is correct. It’s given that line m is parallel to line n, and line t intersects both lines. It follows that line t is a transversal. When two lines are parallel and intersected by a transversal, exterior angles on the same side of the transversalare supplementary. Thus, x+33 =180. Subtracting 33 from both sides of this equation yields x =147. Therefore, the value of x is 147.
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.