In an isosceles trapezoid, the sum of the angles adjacent to the smaller base is 286 degrees

In an isosceles trapezoid, the sum of the angles adjacent to the smaller base is 286 degrees, find the value of the acute angle of the trapezoid.

1) The trapezoid is isosceles, it follows that ∠ A = ∠ D; ∠ B = ∠ C.

2) A trapezoid is a quadrilateral, and the sum of the angles of any quadrilateral is 360 °. So, to find how many degrees there are angles A and D, you need to subtract 286 from 360. You get 74.74 ° falls on angles A and D.

3) 74: 2 = 37 °. This is how we find how many degrees there are in one angle – A or D.

Answer: the acute angle of the trapezoid is 37 °.