In an isosceles trapezoid, the sum of the angles with a smaller base is 210 degrees. Find the angles of a trapezoid

Isosceles is a trapezoid in which the sides are equal.

In an isosceles trapezoid, the angles at the bases are also equal:

∠А = ∠D;

∠В = ∠С.

Since the sum of the angles ∠В and ∠С for a smaller base is 210 °, then:

∠В = ∠С = 210º / 2 = 155º.

Since the sum of the angles of the trapezoid with one side is 180º, then:

∠А = 180º – ∠В;

∠А = 180º – 155º = 25º;

∠С = ∠А = 25º.

Answer: acute angles ∠A and ∠C are equal to 25º, obtuse angles ∠B and C are equal to 155º.