SOLUTION: What is the measure of the smaller angle formed by the hour and minute hands at 1:28? Please explain.

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Question 560480: What is the measure of the smaller angle formed by the hour and minute hands at 1:28? Please explain.
Answer by TutorDelphia(193) About Me  (Show Source):
You can put this solution on YOUR website!
On a traditional clock, the clock's hours are divided into 12 equal segments and the minutes into 60
so at 1:28 the hour hand is 1/12 of the way around and the minute hand is 28/60 of the way around. We can convert both into degrees by multiplying by 360, the number of degrees in a circle
(1/12)*360=30
(28/60)*360=168
To find the angle, just find the difference between the two degrees. 168-30=138