9514 1404 393
Answer:
(x, y) = (10, 2)
Explanation:
The upper angle marked with an expression in x and y is supplementary to the angle marked 70°. The lower angle marked with an expression in x and y is an alternate interior angle with respect to the one marked 70°, is equal to that. This gives the two equations in x and y:
6x +10y +30 = 110
4x +10y +10 = 70
Subtracting the second equation from the first gives ...
2x +20 = 40
x +10 = 20 . . . . . divide by 2
x = 10 . . . . . . . . . subtract 10
Substituting into the second equation gives ...
4(10) +10y +10 = 70
4 + y + 1 = 7 . . . . . . . . divide by 10
y = 2 . . . . . . . . . . . . . . subtract 5
The values of x and y are 10 and 2, respectively.