Question

Write a 2 column proof Prove x=45

Answer 1

Answer:

Look at the below steps.  

Step-by-step explanation:

We have been given two intersecting lines:

The given angles are vertically opposite angles:

$2x+6=96$

On simplification we get:

$2x=90$

On further simplification we get:

$x=\frac{90}{2}$

$x=45$

Hence proved that x=45.

Answer 2

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