The isosceles trapezoid is part of an isosceles triangle with a 38° vertex angle. what is the measure of an acute base angle of the trapezoid? of an obtuse base angle?

The measures of the acute base angles are 71 degrees. the whole measure of a triangle is 180 degrees. this particular triangle's isosceles, meaning that it has two angles of the same measure. 71+71+38=180. Now the trapezoids full inside angle measures equal 360 degrees.we know that the two acute angles equal a total of 142 degrees so what you do is subtract 142 from 360. this means that the two obtuse angles are equal to 109 degrees. so the acute angles are 71 degrees, and the obtuse angles are 109 degrees.