Question

Write a 2 column proof
Prove x=45

Answer 1

Look at the below steps.

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=(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