What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:35?
A. 72.5°

B. 90°

C. 120°

D. 72°

Question

What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:35? 
 A. 72.5°  
 
 B. 90°  
 
 C. 120°  
 
 D. 72°

anonymous · Answer

Lets take 4 o clock as the reference point for both the arms of he clock

anonymous · Answer

One way is to find the angle of each hand in relation to 12 o'clock (0 degrees)

anonymous · Answer

Convert the min portion to decimal hrs: 4.35 = 4.833 
 Find the position of the hr hand: 4.833 * 30 = 137.5 degrees
 Find the position of the min hand: 35 * 6 = 210 degrees
 Find the difference: 210 - 137.5 = 72.5 degree angle formed at 3:35
 c. 11:20
 Decimal hrs: 11:20 = 11.333
 hr hand: 11.333 * 30 = 340 degrees
 Min hand: 20 * 6 =120 degrees