Question

Find the value of x in each case.

Answer 1

x=11

Explanation:

Due to angles DCA and CAB being Alternate Interior Angles, we know that they will be equal. This means that

`DCA=33`°

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
`BCA=180-5x`

As all of the angles in a triangle must add together to be 180 degrees, we can set up the following equation

`33+180-5x+2x=180\\213-3x=180\\3x=33\\x=11`