9514 1404 393
Answer:
x = 14, y = 35
Step-by-step explanation:
The linear pair of angles at upper left are supplementary:
(7x +18) +(5x -6) = 180
12x +12 = 180 . . . . . . . . . collect terms
x +1 = 15 . . . . . . . . . . . divide by 12
x = 14
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Corresponding angles are congruent:
7x +18 = 3y +11
7x +7 = 3y . . . . . . subtract 11
7(x +1)/3 = y . . . . divide by 3
7(14 +1)/3 = y = 7(5) = 35
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The values of the variables are ...
x = 14, y = 35
