Is it possible to have a pentagon with 2 obtuse angles and 3 acute angles?

The total of the internal angles of a pentagon must equal 540 degrees. Three acute angles sum to less than 270 degrees, leaving at least 270 degrees for the obtuse angles if possible. Half of 270 is 135 degrees, which is an obtuse angle. Therefore, a pentagon with angles of 136, 137, 89, 89, and 89 degrees would satisfy the conditions given, and there are many other possibilities.