Asked by kenzi
From an external point E, tangents ES and ET are drawn to circle O. if m<E=78°, find the measure of minor arc ST.
Answers
Answered by
Reiny
Assuming you made your sketch,
angle SOT + angle E = 180° , (since the angles at S and T are each 90° )
angle SOT + 78 = 180
angle SOT = 102°
so the arc SOT = 102/360 of the circumference
= 17/60 of the circumference
angle SOT + angle E = 180° , (since the angles at S and T are each 90° )
angle SOT + 78 = 180
angle SOT = 102°
so the arc SOT = 102/360 of the circumference
= 17/60 of the circumference
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