In the given figure, find the value of x and y ?

Answer:
x = 33 , y = 82
Step-by-step explanation:
The sum of the 3 angles in Δ ACD = 180° , then
x = 180 - (40 + 107) = 180 - 147 = 33
x + 65 + y = 180° ( sum of angles on a straight line ) , then
33 + 65 + y = 180
98 + y = 180 ( subtract 98 from both sides )
y = 82