find the value of x
(7x - 12) 114

[tex](7x - 12) + 114 = 180[/tex]
Reason: The cointerior angles equal 180°
Collecting like terms:
[tex]7x + 102 = 180 \\ 7x = 180 - 102[/tex]
[tex]7x = 78[/tex]
Divide both sides of the equation by the coefficient of 7x which is 7.
[tex] \frac{7x}{7} = \frac{78}{7} [/tex]
[tex]x = \frac{78}{7} = \\ = 11.14[/tex]
( The decimal answer is not necessary except if asked for)