Step 1 :Find the interior angles of each polygon: \(octagon = 135^\circ\), \(pentagon = 108^\circ\), \(hexagon = 120^\circ\)
Step 2 :Calculate the sum of the angles: \(135 + 108 + 120 = 363^\circ\)
Step 3 :\(\boxed{363^\circ}\) is not equal to \(\boxed{360^\circ}\), so the tiles will not fit together perfectly.