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Hitman42 [59]
3 years ago
8

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

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0

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

<u>To find the measure of <DCE</u>

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°

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