Question

Please help me asap! Thank you! Lines CD and CE are tangent to circle a. If m angle DAE = 140°, what is the measure of angle DCE?
A - 80°

B - 140°

C - 40°

D - 220°


Plz look at picture

Answer 1

Answer:

The correct answer is option  C - 40°

Step-by-step explanation:

From the figure we can see a circle.

CD and CE are the two tangents from a common external point C.

CD = CE

To find the measure of <DCE

Consider the quadrilateral <DAE.

<D = <E = 90°  [ Angles made with tangent and radius]

m<DCE + m<DAE = 180°

m<DCE = 180- m<DAE

 = 180 - 140

 = 40°

The correct answer is option  C - 40°