Answer:
x=11
Step-by-step explanation:
Due to angles DCA and CAB being Alternate Interior Angles, we know that they will be equal. This means that
[tex]DCA=33[/tex]°
Next, we can find the measure of the angle DCE.
Angles BCE and BCA are supplementary. This means that they will add together to be 180°
This means that 180-BCE=BCA
Which means [tex]BCA=180-5x[/tex]
As all of the angles in a triangle must add together to be 180 degrees, we can set up the following equation
[tex]33+180-5x+2x=180\\213-3x=180\\3x=33\\x=11[/tex]
