Step-by-step explanation:
[tex] \angle \: 6 \: and \: \angle \: 11 \:are \: corresponding \\ angles. \\ corresponding \: angles \: are \: congruent. \\ \\ \therefore \: \angle \: 6 = \angle \: 11 \\ \\ \therefore \: (2x + 28) \degree = (6x - 24) \degree \\ \\ \therefore \:2x - 6x = - 24 - 28 \\ \\ \therefore \: - 4x = - 52 \\ \\ \therefore \: x = \frac{- 52 }{ - 4} \\ \\ \huge \red{ \boxed{\therefore \: x = 13 }} \\ \\ [/tex]
Thus,
The value of x is 13, because corresponding angles are congruent
