Two Footpaths cross at a junction in a local park, forming a straight line intersection. If one of the acute angles formed by the paths measures 48 degrees, calculate the size of the vertically opposite obtuse angle.

When two straight lines intersect, they form two pairs of vertically opposite angles. Adjacent angles form a linear pair, meaning they sum to $180^\circ$. One acute angle and one obtuse angle will be adjacent to each other.

Given that one acute angle is $48^\circ$, the adjacent obtuse angle (which forms a linear pair with it) can be found by subtracting the acute angle from $180^\circ$.

Vertically opposite angles are equal. The angle calculated in Step 2 is an obtuse angle. The question asks for the size of the vertically opposite obtuse angle. Since vertically opposite angles are equal, the vertically opposite angle to the $132^\circ$ obtuse angle is also $132^\circ$.