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°

82°

Step-by-step explanation:

whenever a line is tangent to a circle, the line segment you can draw from the center to the tangent line on the circumference is always perpendicular, so angle ACD is 90° and angle AED is 90° and we already know CAE is 98° so adding the tree would result in 278° because ACDE forms a quadrilateral it's angle have a sum of 360° so subtract 278 from 360 and you get 82°

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