Answer:
x = 44, y = 37
Step-by-step explanation:
∠1 and ∠ 4 are adjacent angles and are supplementary, thus
3x + 4 + x = 180
4x + 4 = 180 ( subtract 4 from both sides )
4x = 176 ( divide both sides by 4 )
x = 44
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∠ 1 and ∠ 3 are vertical angles and congruent, thus
4y - 12 = 3x + 4 = 3(44) + 4 = 132 + 4 = 136 ( add 12 to both sides )
4y = 148 ( divide both sides by 4 )
y = 37
