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Lines CD and DE are tangent to circle A, as shown below:

Lines CD and DE are tangent to circle A and intersect at point D. Arc CE measures 110 degrees. Point B lies on circle A.

If arc CE is 110°, what is the measure of ∠CDE?

55°
70°
100°
125°

Respuesta :

Sum of two opposite angles in a Cyclic Quadiratral is 180°

[tex]\\ \sf\longmapsto 110+<CDE=180[/tex]

[tex]\\ \sf\longmapsto <CDE=180-110[/tex]

[tex]\\ \sf\longmapsto <CDE=70°[/tex]

Answer:

let <CDE be x:

[tex]{ \tt{110 \degree + x = 180\degree}} \\ \\ { \tt{x = 180 \degree - 110 \degree}} \\ \\ { \tt{x = 70 \degree}}[/tex]