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 C be equal to x, then the angle D is 0.5x, and the angle E is 3x.

The sum of all the angles of a triangle is 180 °. Thus,

x + 0.5x + 3x = 180;

4.5x = 180;

x = 40 ° is the degree measure of the angle C.

This means that the degree measure of the angle D is 20 °, and the angle K is 120 °.