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AD , AF , and DF are tangent to circle O through points C, B, and E, respectively. If mDAF = 66° and mFDA = 56°, what is mEOB?
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Find <DFA first. 56 + 66 + X = 180 122 + x = 180 180 - 122 = 58 <DFA = 58 Tangent circle theorem : always perpendicular to the radius of a circle. <OBF = 90 & <OEF = 90 All quadrilaterals have an interior sum of 360 90 + 90 + 58 + <EOB = 360 238 + <EOB = 360 360 - 238 = 122 <EOB = 122
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