Calculate the missing angle and give a reason for your answer

Answer:
Step-by-step explanation:
AD // BC and AB is transversal
x = 36 {alternate interior angles are equal}
ΔABC is a isosceles triangle.
i + i + 36 = 180 {angle sum property of triangle}
2i + 36 = 180
2i = 180 - 36
2i = 144
i = 144/2
i = 72