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There are two pairs of congruent base angles in an isosceles trapezoid.
A trapezoid always has two acute angles. the base angles have to be acute because the lower base angles and the upper base angles are complementary so since the upper base angle is always obtuse, the lower base angles have to be acute.
It is a trapezoid in which the non-parallel sides are of the same length and subtend equal angles with the base. It can be viewed as an isosceles triangle whose apex has been removed by a line parallel to its base.
The pair of angles at the end of each parallel side - the two base angles and the two top angles - are congruent.
No, a trapezoid cannot have two acute angles and two obtuse angles. By definition, a trapezoid has only one pair of parallel sides. In a trapezoid, the non-parallel sides are always supplementary, meaning they add up to 180 degrees. Therefore, having two obtuse angles would make it impossible for the other two angles to be acute and still satisfy the properties of a trapezoid.