Question 1066168: If the exterior angle of the vertex is 160°, then the measure of the angle of each base is ______° and the measure of the vertex is ______°
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! The triangle in this problem is not clearly described,
but the problem does not make sense unless it is an isosceles triangle.
In an isosceles triangle,
there are two sides of equal length that we call legs,
joined at a vertex that is called the apex.
The other side is called the base,
and the angles adjacent to the base,
both having the same measure,
are called base angles.
In any triangle, the measure of an exterior angle
is the sum of the measure of the two interior angles
that are not adjacent to that exterior angle.
If the exterior angle by the apex measures  ,
each of the base angles measures  .
The apex angle, supplementary to the exterior angle,
measures  .
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