Answer:
x = 12
Step-by-step explanation:
In a pair of intersecting lines the vertically opposite angles are equal.
[tex] \longrightarrow [/tex] (6x + 7)° = (8x - 17)°
[tex] \longrightarrow [/tex] 6x + 7 = 8x - 17
Subtract 8x + 7 from both sides:
[tex] \longrightarrow [/tex] 6x + 7 - (8x + 7) = 8x - 17 - (8x + 7)
[tex] \longrightarrow [/tex] (6x - 8x) + (7 - 7) = (8x - 8x) + (-17 - 7)
6x - 8x = -2x:
[tex] \longrightarrow [/tex] -2x + (7 - 7) = (8x - 8x) + (-17 - 7)
7 - 7 = 0:
[tex] \longrightarrow [/tex] -2x = (8x - 8x) + (-17 - 7)
8x - 8x = 0:
[tex] \longrightarrow [/tex] -2x = -17 - 7
-17 - 7 = -24:
[tex] \longrightarrow [/tex] -2x = -24
Divide both sides by -2:
[tex] \longrightarrow [/tex] [tex] \sf \dfrac{-2x}{-2} = \dfrac{-24}{-2} [/tex]
[tex] \sf \dfrac{-2}{-2} = 1 [/tex]
[tex] \longrightarrow [/tex] [tex] \sf x = \dfrac{-24}{-2} [/tex]
[tex] \sf \dfrac{-24}{-2} = 12 [/tex]
[tex] \longrightarrow [/tex] x = 12
