Find the angles of an isosceles trapezoid if one of its corners is 30 percent larger than the second.

1. Let’s denote the smaller angle of the isosceles trapezoid through x.

2. Determine the greater angle of the isosceles trapezoid

(x + 30˚).

3. Let’s compose and solve the equation:

(x + 30˚) + x + (x + 30˚) + x = 360˚;

x + 30˚ + x + x + 30˚ + x = 360˚;

4x + 60˚ = 360˚;

4x = 360˚ – 60˚;

4x = 300˚;

x = 300˚: 4;

x = 75˚.

4. The smaller angle of the isosceles trapezoid is x = 75˚.

5. What is the greater angle of an isosceles trapezoid?

x + 30˚ = 75˚ + 30˚ = 105˚.

Answer: the angles of an isosceles trapezoid are equal to 75˚, 105˚, 75˚, 105˚.