Question 399336: can a triangle ever have more than one acute exterior angle? explain.
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website! No. An acute exterior angle means that it's supplement is
greater than 90 degrees. That will be one of the interior
angles of the triangle.
Since the interior angles add up to 180 degrees, that
means the remaining 2 interior angles must add up
to less than 90 degrees. There is no way that one
of these angles can be greater than 90 degees, and
that would be the requirement for an exterior angle
to be acute, or less than 90 degrees.
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