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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

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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?

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  • $\begingroup$ Yes, I think I figured it out. Thanks. $\endgroup$ – Ben3678 Mar 15 at 0:35

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