Each interior angle of a regular octagon = 135 degrees Each interior angle of a regular hexagon = 120 degrees
Thus, ∠PBA = 67.5 degrees and ∠QNM = 60 degrees In the octagon name the intersecting point of the altitude and the side; 'x' In the hexagon name the intersecting point of the altitude and the side; 'y' Consider the right triangles PBX and QNY Now we can argue that the side opposite of the larger angle is going to be larger in those respective right triangles.