The difference between the two angles is \(\frac{π}{12} = \frac{180°}{12} = 15°\) Let one angle be \(x\) ∴ The other angle is \(x + 15°\) According to the condition, \(x + x + 15° = 135°\) or, \(2x = 135° - 15°\) or, \(x = \frac{120°}{2}\) or, \(x = 60°\) ∴ The other angle is \(60° + 15° = 75°\) Since \(180° = π\) radians, ∴ \(60° = \frac{π}{180} × 60 = \frac{π}{3}\) radians and \(75° = \frac{π}{180} × 75 = \frac{5π}{12}\) radians ∴ The sexagesimal measures of the angles are \(60°\) and \(75°\), and the circular measures are \(\frac{π}{3}\) radians and \(\frac{5π}{12}\) radians.