Find the value of C in the picture please

Answer:
Option A. 93.5°
Step-by-step explanation:
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
so
∠C=(1/2)[83°+2(52°)]
∠C=(1/2)[83°+104°]
∠C=(1/2)[187°]
∠C=93.5°