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QUESTION

Suppose the measure of an exterior of an equiangular triangle is ##(x+15)°##. What is the value of x?

##x=105^o##

An equiangular triangle is a triangle, whose all interior angles are equal.

As sum of the interior angles of a triangle is ##180^o##, each interior angle is ##60^o##, and

consequently each exterior angle is ##180^o-60^o=120^o##

as such ##x+15^o=120^o##

##x=120^o-15^o=105^o##

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