For an equiangular triangle, all three angles have the same degree measure. Find the degree measure of each angle of an equiangular Triangle

Question

I never got taught how to do this question so I'd appreciate if you could help me out :)

Answer 1

A useful formula to remember is one to determine the sum of the degrees of all angles of a polygon.

 

180(n-2), where n = number of sides.

 

A triangle has 3 sides so the sum of the degrees of the 3 angles is 180 [180(3-2)]

Since in an equiangular triangle, all three angles have the same measure, each angle is 180/3 or 60 degrees

 

FYI, the bolded works for any polygon

For a 4 sided figure, the sum of the angles is 360 [180(4-2)]

 

Work this out for larger polygons.