Find the corners of a rectangular trapezoid if one of the corners is 30 larger than the other.

1. Let’s denote one corner of a rectangular trapezoid through x.

2. Let’s define the second angle of a rectangular trapezoid:

(x + 30˚).

3. Let’s compose and solve the equation:

(x + 30˚) + x + 90˚ + 90˚ = 360˚

x + 30˚ + x + 180˚ = 360˚;

2x + 210˚ = 360˚;

2x = 360˚ – 210˚;

2x = 150˚;

x = 150˚: 2;

x = 75˚.

4. One corner of a rectangular trapezoid is x = 75˚.

5. What is the second angle of a rectangular trapezoid?

x + 30˚ = 75˚ + 30˚ = 105˚.

Answer: The angles of a rectangular trapezoid are 105˚ and 75˚.