Question

Find the degree measure of the angle between hour hand and minute hand of a clock at quarter past seven

Answer 1

✧Important points

▼Minute hand makes 6° angle in 1 minute

▼Hour hand make 1/2 ° angle in 1 minute

▼Hour hand make 30° angle in 1 hour .

Now according to the question.

When the time will 7:15 on clock

Hour hand covered 7 hours and 15 minutes , while minute hand covered 15 minutes.

So angle made by hour hand

In 7 hr = 7 × 30 = 210°

In 15 min. = 15/2 = 7.5°

Total angle = 210+7.5 → 217.5°

Angle made by minute hand

In 15 minutes = 15 ×6 = 90°

Difference between hour Hand and minute hand = 217.5 ° - 90°

→ 127.5 °

hope it helps

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