Q:

HELP!!!!!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°

Accepted Solution

A:
Answer: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°