+279 To understand the question better, it's easier to actually get an image, so I used : https://www.visnos.com/demos/clock
Lets solve for the hour.
12 hours = 360°
1 hour or 60 mins = 30°
You would count all hours within the minute and hour hands. There are 5 hours in between. So because 1 hour is equal to 30°, you would multiply 5 and 30, which would then be 150°.
Let's solve for the minute.
This is where the image is good to have. It wants the obtuse angle, so you would subtract 60 from 48, which would leave you with 12 minutes left. Because 60 minutes is equal to 30°, you would then cross multiply with something that looked like this:
60 / 30 = 12 / x
Solve for x and you would get 6°
Add your degrees 150° and 6°. Your answer is 156°. Voila! 
H=2; M=48; A=abs((30*H) - (5.5*M));print"A =", A,"Degrees")
A = 204 Degrees
The minute hand is at 48 minutes. That is clear. The hour hand has moved: 48 / 12 = 4 minutes after 2, which is 14 minutes from 12 O'clock. So, 48 - 14 =34 minutes, the angle between the two hands of the clock. But each minute on the clock is 360 /60 =6 degrees . Therefore, 34 minutes x 6 degrees =204 degrees.
