The given equations satisfy the given conditions. There are
2 equations and 2 unknowns, so a certain solution can be found.
This can be solved using substitution,
Substituting eqn 2 to eqn 1:
2(2y – 10) + 3y =1240
Simplifying,
y = 180
x = 350
The answer is 55° because 75° + 50° = 125°, 180°-125°= 55°