Answer:
x = 11, y = 13
Explanation:
11x - 1 and 9x + 21 are corresponding angles and are congruent, thus
11x - 1 = 9x + 21 ( subtract 9x from both sides )
2x - 1 = 21 ( add 1 to both sides )
2x = 22 ( divide both sides by 2 ) x = 11
Then
11x - 1 = 11(11) - 1 = 121 - 1 = 120°
5y - 5 and 11x - 1 are adjacent angles and are supplementary, thus
5y - 5 + 120 = 180, that is
5y + 115 = 180 ( subtract 115 from both sides )
5y = 65 ( divide both sides by 5 )
y = 13