Answer:
x = 8
Step-by-step explanation:
11x - 34 and 7x - 2 are vertical angles and congruent, thus
11x - 34 = 7x - 2 ( subtract 7x from both sides )
4x - 34 = - 2 ( add 34 to both sides )
4x = 32 ( divide both sides by 4 )
x = 8
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11x - 34 = 11(8) - 34 = 88 - 34 = 54
18y and 11x - 34 are adjacent angles and supplementary , thus
18y + 54 = 180 ( subtract 54 from both sides )
18y = 126 ( divide both sides by 18 )
y = 7
