Discussion

Explanation:

At 4:30 the minute hand points towards 6, while the hour hand will be exactly between 4 and 5.

∴ The angle between the two hands will be equivalent to that of one and a half sector.

∴ Angle between the two hands = 1.5 × 30° = 45°

Alternately,
Angle between the two hands at h : m = $\left|30h-\frac{11}{2}m\right|$

∴ At 4 : 30 the angle will be = $\left|30\times 4-\frac{11}{2}\times 30\right|$ = |120 – 165| = 45°.

Hence, option (d).

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