The angles of a quadrilateral measure 80, 100, 100, and 80 in this order. what kind of quadrilateral has this shape? how do you know?

"The answer is isosceles trapezoid.

If two obtuse angles are next to each other (100° and 100°) and followed by two acute angles next to each other as well ((80° and 80°), the shape is trapezoid. Trapezoid is quadrilateral shape that has a pair of parallel sides parallel. When angles on each of its base are equal, trapezoid is called isosceles trapezoid."

It is a rectangle because with a rectangle each pair of parallel sides have the same length. I hope this helps.