Sum of angle in a straight line = 180 degrees
So, (9x - 9y) + 72 = 180--------1
Also
(-4x + 14y) = 72-------2 ( they are corresponding angles)
From equation 1
9x -9y = 180 -72
9x - 9y = 108
divide through by 9
x - y = 12
x = 12 + y
Substitute x = 12 + y in equation 2
- 4 ( 12 + y) + 14y = 72
-48 -4y + 14y = 72
10y = 72 + 48
10y = 120
y = 120/10 = 12
Substitute y = 12 in x = 12 +y
x = 12 + 12 = 24
Thus the solutions are x= 24 , y = 12 (option A)
