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
1 answer:
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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