In triangle CDE, the angle D is 2.5 times the angle C, and the angle E is 24 degrees less than the angle D. find the angle E.

Let us denote the angle DCE of the triangle CDE by X.

Then, by condition, the angle CDE = (2.5 * X), and the angle CED = (2.5 * X – 24).

The sum of the interior angles of the triangle is 180, then:

DCE + CED + CDE = X + (2.5 * X – 24) + 2.5 * X = 180.

6 * X = 180 + 24 = 204.

X = 204/6 = 34.

Then the angle CED = 2.5 * 34 – 24 = 61.

Answer: Angle CED = 61.