What is the smaller angle between the hour hand and the minute hand of a clock at 6:45?

💡 Solution & Explanation

Use angle = |30 × H − 5.5 × M|. Here |30 × 6 − 5.5 × 45| = |180 − 247.5| = 67.5°. The 5.5 accounts for the hour hand moving half a degree every minute.