Can a triangle have an exterior angle that is obtuse at two vertices? Explain

Yes

Step-by-step explanation:

An obtuse triangle will have two obtuse angle at its exterior.

Take for instance, the angles in the triangle are 100, 40 and 40.

The exteriors would be 80, 140, 140 (this is gotten by subtracting each interior angles from 180).

So, using the above analysis, we can conclude that the statement is possible.

i belive those are the ones that are under 90 degreese.