What is the smaller angle between the hour hand and the minute hand of a clock at 1:50?

💡 Solution & Explanation

Use angle = |30 × H − 5.5 × M|. Here |30 × 1 − 5.5 × 50| = |30 − 275| = 245°. That is more than 180°, so the smaller angle is 360° − 245° = 115°. The 5.5 accounts for the hour hand moving half a degree every minute.