What is the smaller angle between the hour hand and the minute hand of a clock at 12:55?

💡 Solution & Explanation

Use angle = |30 × H − 5.5 × M|. Here |30 × 0 − 5.5 × 55| = |0 − 302.5| = 302.5°. That is more than 180°, so the smaller angle is 360° − 302.5° = 57.5°. The 5.5 accounts for the hour hand moving half a degree every minute.