What is the reflex angle between the hands of a clock at 10:25?

Problem restatement
Find the reflex angle (> 180°) between the hands at 10:25.

Given data

• Hour-hand angle at 10:25: 10×30 + 0.5×25 = 300 + 12.5 = 312.5°.
• Minute-hand angle: 25×6 = 150°.

Concept/Approach
The smaller angle is the absolute difference; the reflex angle is 360° minus that.

Step-by-Step calculation
Smaller angle = |312.5 − 150| = 162.5°Reflex angle = 360° − 162.5° = 197.5°

Common pitfalls
Reporting the smaller 162.5° instead of the requested reflex angle.