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

Question

2 years ago

8

?
A - 80°

B - 140°

C - 40°

D - 220°

Plz look at picture

1 answer:

ValentinkaMS [17] · Answer 1 · 2022-07-12T08:51:10+03:00

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°