9514 1404 393
Answer:
Step-by-step explanation:
Vertical angles have the same measure, so we can equate expressions for each vertical angle pair:
top and bottom
8x +7 = 9x -4
11 = x . . . . . . . . . . add 4-8x to both sides
left and right
7y -34 = 5y
2y = 34 . . . . . . . . add 34-5y to both sides
y = 17 . . . . . . . divide by 2
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Additional comment
As a check on the integrity of the problem, we can see if these angles form linear pairs.
8x+7 = 8·11+7 = 95
5y = 5·17 = 85
95 +85 = 180 . . . . . . angle values have the expected relationship
