"lines cd and de are tangent to circle a shown below.

lines cd and de are tangent to circle a and intersect at point d; arc ce measures 98 degrees; point b lies on circle a.

if arc ce is 98°, what is the measure of ∡cde?

56°

49°

131°

82° "

Hi, you for posting your question here at : ) i hope i would be able to you and give a good explanation. here goes.

for circles, if the exterior arc has a certain value in degrees, the corresponding angle of the opening is the half of it. since arc ce is 98 degrees, to find for  ∡cde, just divide it by 2. 98/2 = 49 degrees. the answer is the second choice.

have a good day.