Answer:
x = 13
y = 55
Step-by-step explanation:
5x and 115 are linear pair angles. Sum of linear pair angles is 180.
So,
5x + 115 = 180
5x = 180 - 115
5x = 65
x = 65 / 5
x = 13
45 and 5x are interior angles of a triangle. Its opposite exterior angle is 2y.
Opposite exterior angle = Sum of two interior angles in a triangle.
So,
45 + 5x = 2y
Substitute the value of x in " 45 + 5x = 2y ",
45 + 5 ( 13 ) = 2y
45 + 65 = 2y
110 = 2y
y = 110 / 2
y = 55
