A program that asks for time, and calculates the angle of the clock hands for the given time.

clock_angle.py

#!/usr/bin/env python3
import sys

def get_clock_angle(hour, minute):
    """Counts the angle of given clock hands.
    Takes two integers, hour and minute.
    Returns a float, the angle."""

    # Check if the given values are valid.
    if hour < 1 or hour > 24:
        print(str(hour) + " is not a valid value for hour")
        sys.exit()

    if hour > 12:
        print("Converting " + str(hour) + " into 12-hour format: " + str(hour - 12))
        hour = hour - 12

    if minute > 59 or minute < 0:
        print(str(minute) + " is not a valid value for minute")
        sys.exit()

    clock_degrees = 360
    clock_minutes = 60
    clock_hours = 12

    step_minutes = clock_degrees / clock_minutes # = 6
    step_hours = clock_degrees / clock_hours # = 30

    angle_hours = hour * step_hours
    angle_minutes = minute * step_minutes - ((step_hours / clock_minutes) * minute)

    clock_angle = 360 - (max(angle_hours, angle_minutes) - min(angle_hours, angle_minutes))

    return clock_angle

def main():
    """Runs the program"""
    while True:
        try:
            user_input = input("Give a time (hh:mm)\n  >> ")

            if user_input.lower() == "exit" or user_input.lower() == "quit" or user_input.lower() == "q":
                print("Thank you for using this program!")
                break

            hours = int(user_input.split(":")[0])
            time = int(user_input.split(":")[1])

            clock_angle = get_clock_angle(hours, time)

            print(clock_angle)
            print("")

        except SystemExit as err:
            main()

        except ValueError as err:
            print("Your values were not valid numbers. Please try again.\n")
            main()

        except IndexError as err:
            print("Time format was not valid. Give times like this: 12:00.\n")
            main()

        except:
            raise

print("Type 'exit' to exit from this program") # Has to be here so we won't get it everytime.

main()