Answer:
x = 15 , y = 138
Explanation:
the sum of the 3 angles in a triangle = 180°
consider the triangle on the left
third angle + 65° + 73° = 180°
third angle + 138° = 180° ( subtract 138° from both sides )
third angle = 42°
42° and y are then a linear pair and sum to 180° , so
y = 180 - 42 = 138
consider the triangle on the right
x + 27 + 138 = 180
x + 165 = 180 ( subtract 165 from both sides )
x = 15