Problem: Given a quadrilateral ABCD inscribed in a circle with side AB extended beyond B to point E, if ∠BAD=92∘ and ∠ADC=68∘, find ∠EBC
Answer Choices:
A. 66∘
B. 68∘
C. 70∘
D. 88∘
E. 92∘
Solution:
∠EBC=∠ADC since both angles are supplements of ∠ABC. Note the fact that ∠BAD=92∘ is not needed in the solution of the problem.