One of the corners in an isosceles trapezoid is 72, find the rest of the corners.

It is known from the condition that one of the angles in an isosceles trapezoid is 72 °. In order to find the rest of the angles, let’s recall the property of the angles at the base of an isosceles trapezoid.

So, the angles at the base of an isosceles trapezoid are equal. We also need to know what is the sum of the angles of the quadrilateral. It is 360 °.

So, we know the two angles of the trapezoid and they are equal to 72 °.

Let’s find what the angles at the second base are equal to.

360 ° – 72 ° * 2 = 360 ° – 144 ° = 216 °.

216 °: 2 = 108 °.

Answer: 72 °; 72 °; 108 °; 108 °.