The Aztec people of pre-Columbian Mexico used the Aztec Calendar. it consisted of a 365-day calendar cycle and a 260-day ritual cycle. In the stone carving of the calendar, the second ring from the centre showed the days of the month, numbered from one to 20. Suppose the calendar was placed on a Cartesian plane, as shown below.
a.) The blue angle marks the passing of 12 days. Determind the measure of the angle.
b.) How many days would have passed if the angle had been drawn in quadrant II, using the same reference angle as in part a?
c.) Keeping the same reference angle, how many days would have been passed if the angle had been drawn in quadrant IV?