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AleksandrR [38]
3 years ago
15

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

Mathematics
1 answer:
Natali5045456 [20]3 years ago
4 0

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°

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