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.

Step 1: Understand the angles formed by intersecting lines. When two straight lines intersect, they form two pairs of vertically opposite angles. Adjacent angles form a linear pair, meaning they sum to 180^. One acute angle and one obtuse angle will be adjacent to each other. Step 2: Calculate the measure of an adjacent obtuse angle. Given that one acute angle is 48^, the adjacent obtuse angle (which forms a linear pair with it) can be found by subtracting the acute angle from 180^. Adjacent obtuse angle = 180^ - 48^ Adjacent obtuse angle = 132^ Step 3: Determine the vertically opposite obtuse angle. 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^ obtuse angle is also 132^. The size of the vertically opposite obtuse angle is 132^. That's 2 down. 3 left today — send the next one.