Answer:
[tex] x = 57 [/tex]
Explanation:
[tex] 2y + (4y - 36) = 180 [/tex] (linear pair)
Solve for y
[tex] 2y + 4y - 36 = 180 [/tex]
[tex] 6y - 36 = 180 [/tex]
Add 36 from each side
[tex] 6y - 36 + 36 = 180 + 36 [/tex]
[tex] 6y = 216 [/tex]
Divide both sides by 6
[tex] y = 36 [/tex]
✔️[tex] x + 51 + 2y = 180 [/tex] (sum of triangle)
Plug in the value of y
[tex] x + 51 + 2(36) = 180 [/tex]
[tex] x + 51 + 72 = 180 [/tex]
[tex] x + 123 = 180 [/tex]
Subtract 123 from each side
[tex] x = 57 [/tex]
