Suppose the measure of an exterior of an equiangular triangle is ##(x+15)°##. What is the value of x?
February 20th, 2023
##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##