Answer :
Answer:
[tex]120^o[/tex]
Step-by-step explanation:
We are asked to find the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:00.
Since we know that clock is a circle made of 360 degrees.
Angle described by minute hand in one minute equals to 6 degrees (360/60). Angle described by hour hand in 1 hour equals 30 degrees (360/12).
At 4:00 minute hand will be at 12 and hour hand will be at 4. So we will multiply 4 by 30 to find the measure of angle formed when the clock shows 4:00.
[tex]\text{Measure of angle}=4\times 30^o[/tex]
[tex]\text{Measure of angle}=120^o[/tex]
Therefore, the measure of the angle formed by the minute hand and the hour hand of a clock, when the clock shows 4:00 is 120 degrees.