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