Find the value of the variables in the figure

x = 11, y = 13

Step-by-step 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

yeet

step-by-step explanation: