What is the measure of

Answer:
∠ CEA = 61°
Step-by-step explanation:
The measure of a chord- chord angle is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, thus
∠ CEA = [tex]\frac{1}{2}[/tex](AC + BD) = 0.5(87 + 35)° = 0.5 × 122° = 61°