I don't even know where to start on this: In the figure, point O is the center of the circle, points A, B, C, D and E all lie on the circle, and both segment AD and CE go through point O. Angle BEC measures 28 degrees, and ADB measures 37 degrees. Find the measure of ACE. The Figure
2026-03-26 08:04:36.1774512276
Angle of a Star Inscribed in a Circle
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Hint:
By the inscribed angle theorem, $\;\widehat{ACE}=\frac12\widehat{AOE}$, $\;\widehat{AOB}=2\widehat{ABD}$, $\;\widehat{BOCB}=2\widehat{BEC}$.
Can you proceed?