Determine the value of the angle: A) the degree measure of which is 3/15 (degrees)

Determine the value of the angle: A) the degree measure of which is 3/15 (degrees) of the unfolded angle. B) 7/15 of which are equal to 21 degrees.

A) At the very beginning, remember that the unfolded angle is an angle, the degree measure of which is 180o. Therefore, in order to calculate the degree measure of the angle, which is 3/15 of the unfolded angle, it is necessary to multiply the degree measure of the unfolded angle by 3/15:

180o * (3/15) = (180 * 3) / 15 = (36 * 5 * 3) / (5 * 3) = 36o.

B) The task is solved by the proportion:

7/15 is 21o;
1 is xo.

Then:

x = 21 * 1: 7/15 = 21: 7/15 = 21 * 15/7 = (21 * 15) / 7 = (3 * 7 * 15) / 7 = 3 * 15 = 45o.

Answer: 36o and 45o.