What is the great angle of an isosceles trapezoid if it is known that the difference between the opposite

What is the great angle of an isosceles trapezoid if it is known that the difference between the opposite angles is 36 degrees.

Let the value of the angle BAD = X0, then, by condition, the opposite angle BCD = (X + 36) 0.

Since the trapezoid ABCD is isosceles, the angle ADC = BAD = X0.

In a trapezoid, the sum of the angles at its lateral side is 180, then:

(BCD + ADC) = 180.

X + X + 36 = 180.

2 * X = 144.

X = BAD = 144/2 = 72.

Angle ВСD = 72 + 36 = 108

Answer: The larger angle of the trapezoid is 108.