Question

Lines CD and DE are tangent to circle A as shown below:
If arc CE is 110°, what is the measure of ∠CDE?

55°

70°

100°

125°

Answer 1

@agent0smith

Answer 2

@agent0smith

Answer 3

@amistre64

Answer 4

@Compassionate

Answer 5

@JuanitaM

Answer 6

Since the arc is 110 degrees - the bigger arc is 250

so to find the <CDE take 1/2 of bigger arc

Answer 7

how would i do that? @JuanitaM

Answer 8

if the bigger arc is 250 - what is 1/2 of that?

Answer 9

125

Answer 10

yes

Answer 11

oh okayy thank you so much i get it now! lol

Answer 12

you are welcome

Answer 13

i dont get 125

Answer 14

there are a few ways to appraoch it; one is an average of arcs, the other is by making a kite.



the angles of the kite have to add up to 360

x + 180 + 110 = 360 is one route
--------------------------------

the average of angles is essentially:\[\frac{(360-110)-110}{2}=\frac{180-110}{2}\]

Answer 15

lol, that last /2 was a brainurism

Answer 16

180-110 ... which is not going to be 125

Answer 17

70?

Answer 18

i see juanita was thinking of a different property that corresponds to angles inside of a circle

Answer 19

70 is the correct answer yes

Answer 20

oh okayy thanks

Answer 21

this is correct for a differnt problem, not this one :)