Given p = polygon and x = prime
Polygon can be 3-sided (triangle), 4-sided (square / rectangle), 5-sided (pentagon) and so on ...
quadrilateral is a 4 sided polygon
so essentially the question is asking whether the polygon has 4 sides or their interior angles sum to 360 degrees.
1. polygon's interior angles sum to 180 x
sum of interior angles = (no. of sides - 2) * 180
given X = prime
if x = 2, Sum of angles = 180 * 2 = 360 degrees (hence no of sides = 4) Yes a quadrilateral
but if x = 3, sum of angles = 180 * 3 = 540 (number of sides = 5) NOT a quadrilateral.
Hence insufficient
2. polygon has 2x sides
if x = 2, no of sides = 4 (YES a quadrilateral)
if x = 3, no of sides = 6 (NOT a quadrilateral)
Hence insufficient
Taking 1+2 together, still insufficient
hence E
What's the OA?
