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smc

geometry intermediate

Problem

A circle of radius inches has its center at the vertex of an equilateral triangle and passes through the other two vertices. The side extended through intersects the circle at . The number of degrees of angle is:
(A)
(B)
(C)
(D)
Solution
is an equilateral triangle, so ∠ must be °. Since is on the circle and ∠ contains arc , we know that ∠ is ° .
Final answer
B