An exterior angle of an isosceles triangle has measure 150°. Find two possible sets of measures for the angles of the triangle.
If the exterior angle of the bases is 150°​, then the measure of the angle of each base is
_° and the measure of the vertex is _°. If the exterior angle of the vertex is 150°​, then the measure of the angle of each base is
_° and the measure of the vertex is _°.

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If the exterior angle of the bases is 150°​, then the measure of the angle of each base is
30° and the measure of the vertex is 120°. If the exterior angle of the vertex is 150°​, then the measure of the angle of each base is
75° and the measure of the vertex is 30°.