Answer:
x = 16, y = 10
Step-by-step explanation:
(8x - 14) and (5x + 34) are alternate exterior angles and congruent, thus
8x - 14 = 5x + 34 ( subtract 5x from both sides )
3x - 14 = 34 ( add 14 to both sides )
3x = 48 ( divide both sides by 3 )
x = 16
Then
8x - 14 = 8(16) - 14 = 128 - 14 = 114
(5y + 16) and (8x - 14) are adjacent angles and supplementary, thus
5y + 16 + 114 = 180 , that is
5y + 130 = 180 ( subtract 130 from both sides )
5y = 50 ( divide both sides by 5 )
y = 10
