Question

Lines CD and DE are tangent to circle A shown below.

If C to E is 98°, what is the measure of ∠CDE?

Answer 1

Select one:
a. 56°
b. 49°
c. 131°
d. 82°

Answer 2

The measure of an angle formed by two tangents is equal to one-half of the difference of the two intercepted arcs.

In our problem, the two tangents are intercepted by two arcs, CE and major arc CBE.

Answer 3

An entire circle has 360 degrees. Since arc CE = 98, major arc CBE = 360 - 98 = 262 degrees.

Answer 4

Therefore, angle D, the angle formed by the two tangents, is equal to:

(1/2) (262-98) = 1/2 of 164 = 82 degrees.

Answer 5

ok now it makes sense

Answer 6

thanks

Answer 7

Welcome.