thank you
Hi -
This is a bit tricky. You need to suppose angle FCD = x. Then angle BCE is also x (vertically opposite angles).
Then you can use the following facts to find an equation for x:
- The exterior angle of a triangle is equal to the sum of the interior opposite angles. (So, for instance, angle ADC = 32 + x)
- The opposite angles of a cyclic quadrilateral are supplementary. (So, for instance, angle ADC + angle ABC = 180 degrees.)
When you've got x you can now use the fact that:
- The exterior angle of a cyclic quadrilateral is equal to the opposite interior angle. (So, for instance, angle DAB = angle FCD.)
I hope you can work it out from here.
Grandad