In quadrilateral ABCD, diagonal AC is drawn. It is given that ∠BAC=(4x−6)∘ and ∠ACD=(2x+54)∘. Further, ∠ABC=110∘.
a. (i) Using the information above, obtain an equation in x and find its value.
b. (ii) Prove that AB is parallel to CD.
c. (iii) Determine the measure of ∠BCD.