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

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

Question

Lines CD and DE are tangent to circle A shown below.

If C to E is 98°, what is the measure of ∠CDE?

anonymous · Answer

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

anonymous · Answer

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.

anonymous · Answer

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

anonymous · Answer

Therefore, angle D, the angle formed by the two tangents, is equal to:

(1/2) (262-98) = 1/2 of 164 = 82 degrees.

anonymous · Answer

ok now it makes sense

anonymous · Answer

thanks

anonymous · Answer

Welcome.