in what type of trapezoid are the base angles congruent?
In a trapezoid, the base angles are the pair of angles that share a common base. There are two pairs of base angles in a trapezoid: the angles formed by the non-parallel sides and the base, and the angles formed by the parallel sides and the base.
For the base angles to be congruent, we need the non-parallel sides to be congruent. This means that the trapezoid must be an isosceles trapezoid.
An isosceles trapezoid is a special type of trapezoid where the non-parallel sides (legs) are congruent. It has two pairs of congruent base angles.
To determine if a trapezoid is isosceles, you can measure the lengths of the non-parallel sides (legs) and see if they are equal. Or you can use the given information in the problem or from the figure to determine if the trapezoid is isosceles.