One corner of an isosceles trapezoid is 3 times the other. find the smaller angle of this trapezoid.

In an isosceles trapezoid, the angles at the bases are equal. This means that we are talking about the corners at the lateral side of the trapezoid. The corners at the lateral side of the trapezoid are internal one-sided corners at parallel bases and secant to the lateral side. The sum of the inner one-sided angles is 180 °.

Let one angle be x degrees, then the second angle is 3x degrees. The sum of these angles is (x + 3x) degrees or 180 °. Let’s make an equation and solve it.

x + 3x = 180;

4x = 180;

x = 180: 4;

x = 45 ° – smaller angle.

Answer. 45 °.