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 130 degrees. point b lies on circle a. if arc ce is 130°, what is the measure of ∠cde?

The measure of ∠CDE is 50°.

Step-by-step explanation:

Given information: Lines CD and DE are tangent to circle A. Arc CE measures 130 degrees.

According to the tangle to a circle property, the tangent of circle is perpendicular to the radius at the point of tangency.

It means ∠ACD and ∠AED are right angles.

The measure of arc CE is 130° it means the central angle of arc CE is 130°.

According to the angle sum property, the sum of interior angles of a quadrilateral is 360°.

Therefore the measure of ∠CDE is 50°.

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