Question

An exterior angle of an isosceles triangle has measure 130°. Find two possible sets of measures for the angles of the triangle.

Answer 1

(1) it can be both exterior of vertex or base. 180-130=50°
vertex is 50°:     base=(180-50)/2=65°
base is 50°:       vertex= 180-2*50=80°

vertex 50 base 65; vertex 80, base 50

(2)base=180-130=50°
vertex=180-2*50=80°

base 50 vertex 80