Question

Lines CD and DE are tangent to circle A If CE IS 126 what is the measure of CDE

Answer 1

Answer:

∠ CDE = 54°

Step-by-step explanation:

The measure of the tangent- tangent angle CDE is half the difference of the intercepted arcs.

∠ CDE = $\frac{1}{2}$ (EBC - CE )

arc EBC = 360° - 126° = 234° , then

∠ CDE = $\frac{1}{2}$ (234 - 126)° = $\frac{1}{2}$ × 108° = 54°