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To find the measure of angle EDC, we can use the property that the angle formed by two tangents from a point outside a circle is half the difference of the measures of the intercepted arcs. Angle EDC intercepts arcs EAB and EC, so we calculate it as follows:

Angle EDC = 1/2 (measure of arc EAB - measure of arc EC) = 1/2 (195° - 75°) = 1/2 (120°) = 60°.

Thus, the measure of angle EDC is 60 degrees.

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