Finding the measure of an angle

Geometry Level 1

In the figure above, A C AC is the diameter of circle O O . Find measure B O C \angle BOC in degrees.


The answer is 60.

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2 solutions

Roger Erisman
Apr 13, 2017

BAC = 30 degrees so it cuts an arc = 60 degrees

BOC cuts the same 60 degree arc but is a central angle therefore BOC = 60 degrees

By Thales Theorem , we have

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