Me asap! 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

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°

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

the answer is c just got it on ed

step-by-step explanation: