Find the degree measures of the angles of the triangle CDE if the angle C is twice the angle D

Find the degree measures of the angles of the triangle CDE if the angle C is twice the angle D and three times less than the angle E

Let the angle D be equal to x °, then the angle C is 2 * x °, and the angle E is 2 * x / 3 °.

The angles of a triangle add up to 180 °:

x + 2 * x + 2 * x / 3 = 180,

11 * x / 3 = 180,

x = 540/11 ° – angle D.

2 * 540/11 = 1080/11 ° – angle C.

2 * 540/11/3 = 1080/33 ° – angle E.