Answer:
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°.