Answer:
x = 14
Explanation:
(6x + 9)° and (5x + 17)° are a linear pair and sum to 180°
sum the 2 angles, equate to 180 and solve for x
6x + 9 + 5x + 17 = 180 ( collect like terms on left side )
11x + 26 = 180 ( subtract 26 from both sides )
11x + 26 - 26 = 180 - 26 ( simplify both sides )
11x = 154 ( divide both sides by 11 )
x =
, that is
x = 14