Find The Sum Of The Measures Of Exterior Angles Of A Regular Triangle. We know that the angles of a triangle will always add up to 180. Every triangle has six exterior angles two at each vertex are equal in measure.
The exterior angles taken one at each vertex always sum up to 360. No matter how fussy and multi-sided the regular polygon gets the sum of its exterior angles is always 360. We know that If we count one exterior angle at each vertex of all regular polygon then the sum of the measures of the exterior angles of a polygon is always.
So lets try finding the sum of interior angles of a regular triangle.
This may be one the most well known mathematical rules-The sum of all 3 interior angles in a triangle is 180circ. Since the polygon is regular the measure of all the interior angles is the same. As you can see from the picture below if you add up all of the angles in a triangle the sum must equal 180circ. An exterior angle is supplementary to its adjacent triangle interior angle.