This modern clock has bold marks only at the quarter positions. Its hands are exactly as drawn. What angle do they form?

The long hand is on the 6-mark (30 min) and the short hand is halfway between the 3 and 4 positions: 3:30. Hour hand $90+15=105^{\circ }$, minute hand $180^{\circ }$: angle $75^{\circ }$. (90° keeps the hour hand on 3.)