Respuesta :

The two angles, 2x + 6 and 96 are opposite angles.
Opposite angles are equal, so
2x + 6 = 96
2x = 96 - 6
2x = 90
x = 90÷2
x= 45

Answer:

Look at the below steps.  

Step-by-step explanation:

We have been given two intersecting lines:

The given angles are vertically opposite angles:

[tex]2x+6=96[/tex]

On simplification we get:

[tex]2x=90[/tex]

On further simplification we get:

[tex]x=\frac{90}{2}[/tex]

[tex]x=45[/tex]

Hence proved that x=45.