The sum of the measures of the exterior angles of a polygon equals 360 degrees.
If the exterior angle of the vertex is 160 degrees, then the sum of the exterior angles of the other two vertices must be 360 - 160 = 200 degrees.
Since this is a triangle and the angles of a triangle sum to 180 degrees, the sum of the measures of the two base angles is 180 - 200 = -20 degrees.
However, angles cannot have negative measures, so there must be an error in the given information.
If the exterior angle of the vertex is 160, then the measure of the angle of each base is 20 and the measure of the vertex is ___
1 answer