The degree measure of the CDE angle is 135 degrees. The beam divides it into two angles, the CDO

The degree measure of the CDE angle is 135 degrees. The beam divides it into two angles, the CDO angle is 2 times less than the ODE angle. Find the COD angle and the OED angle.

Let’s solve the problem in parts. Let’s designate the angle CDO as 1 part, then, according to the condition of the problem, the angle ODE is twice as large, that is, 2 parts. These two corners form one CDE corner, that is:

angle CDO + angle ODE = angle CDE; we get:

1 part + 2 parts = 135 °, then

3 parts = 135 °;

1 part = 45 °.

This means that the CDO angle is 45 °. Then the angle ОDE is 45 * 2 = 90 °.

Answer: the CDO angle is 45 °, the ODE angle is 90 °.