Select the correct answer.

Question

In the diagram, point O is the center of the circle and  and  intersect at point E. If m∠AOB = 90° and

m∠COD = 16°, what is m∠CED?

A. 

37°

B. 

48°

C. 

53° 

D. 

62°

Answer 1

m<DEC = 1/2 (arc AB + arc CD)

m<AOB = 90 and is central angle so intercepted arc AB is equal to 90

m<COD = 16 and is central angle so intercepted arc CD is equal to 16

plugging values into equation:

m<DEC = 1/2 (90 + 16) = 53 (C)