The measure of the angle ∠DEF is 85 degrees and the measure of the angle ∠CFE is 57 degrees.
What is a rectangle?
It is a polygon that has four sides. The sum of the internal angle is 360 degrees.
In a cyclic quadrilateral, the sum of opposite angles is 180°.
∠DCE + ∠DEF = 180°
∠DEF = 180° - ∠DCF
∠DEF = 180° - 95°
∠DEF = 85°
Similarly for the other two angles, we have
∠CDE + ∠CFE = 180°
∠CFE = 180° - ∠CDE
∠CFE = 180° - 123°
∠CFE = 57°
More about the quadrilateral link is given below.
https://brainly.com/question/13805601
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