Hi -

This is a bit tricky. You need to suppose angle FCD =x. Then angle BCE is alsox(vertically opposite angles).

Then you can use the following facts to find an equation forx:

- The
exteriorangle of a triangle is equal to the sum of theinterior oppositeangles. (So, for instance, angle ADC = 32 +x)- The
opposite anglesof a cyclic quadrilateral aresupplementary. (So, for instance, angle ADC + angle ABC = 180 degrees.)

When you've gotxyou can now use the fact that:

- The
exteriorangle of a cyclic quadrilateral is equal to theopposite interiorangle. (So, for instance, angle DAB = angle FCD.)

I hope you can work it out from here.

Grandad