WAEC Mathematics 2025 Paper

Concept:Parallel line angle properties and the sum of angles in a triangle.Explanation:Since $AB \parallel CD$, the given $52^\circ$ angle has an equal corresponding angle where the transversal line cuts the other parallel line.Using the vertically opposite angle of this corresponding angle, the same $52^\circ$ appears as one angle of the triangle containing $x$.Therefore, the three angles in that triangle are $52^\circ$, $35^\circ$, and $x$.By the angle sum of a triangle:$$52^\circ + 35^\circ + x = 180^\circ$$$$87^\circ + x = 180^\circ$$$$x = 180^\circ - 87^\circ = 93^\circ$$Answer:$x = 93^\circ$, so Option A is correct.