Answer:
[tex] x = 18 [/tex]
[tex] y = 5 [/tex]
Step-by-step explanation:
49° + (3x)° = (7x - 23)° (corresponding angles)
[tex] 49 + 3x = 7x - 23 [/tex]
Collect like terms
[tex] 49 + 23 = 7x - 3x [/tex]
[tex] 72 = 4x [/tex]
Divide both sides by 4
[tex] \frac{72}{4} = x [/tex]
[tex] 18 = x [/tex]
[tex] x = 18 [/tex]
(3x)° = (11y - 1)° (corresponding angles)
Plug in the value of x and solve for y
[tex] 3(18) = 11y - 1 [/tex]
[tex] 54 = 11y - 1 [/tex]
Add 1 to both sides
[tex] 54 + 1 = 11y [/tex]
[tex] 55 = 11y [/tex]
Divide both sides by 11
[tex] \frac{55}{11} = y [/tex]
[tex] 5 = y [/tex]
[tex] y = 5 [/tex]
