Question

When the hands of a clock show 5' O clock, the angle between them is

• A. $72^\circ$
• B. $150^\circ$
• C. $100^\circ$
• D. $120^\circ$

Answer 1

Answer: (A)

$72^\circ$

Answer 2

Step 1
As we know in one hour, the hour hand makes$\frac{360\degree}{12}=30\degree$angle with minute hand
Step 2
At 5o'clock, the minute hand is on the 12 and the hour hand is on the 5
So The angle between two hands$=5×30\degree=150\degree$
Hence, At 5o'clock, the angle formed between the two hands of a clock is$150\degree$
The correct answer is (B):$150^\circ$