Question

GEOMETRYYYYYYYY!!!!!!!!

Answer 1

`\angle FGH = \angle FGI + \angle IGH \\ 82 = (6x + 10) + (5x - 5)`

collect like terms:

`82 = (6x + 5x) + (10 - 5) \\ 82 = 11x + 5`

subtract 5 from both sides:

`82 - 5 = (11x + 5) - 5 \\ 77 = 11x`

divide either sides by 11 [divide rule of equality]:

`(11x)/(11) = (77)/(11) \\ \\ { \boxed{ \boxed{x = 7}}}`