Question

Write a 2 column proof



Prove x=45

Answer 1

Proved that x= 45

Explanation:

From the diagram we can see that 2x+6 and 96 are vertical opposite angles

Vertical opposite angles are the pair of angles that are same.

2x+6 and 96 are vertical opposite angles

so they are equal

2x+6 = 96

Now we solve for x, subtract 6 from both sides

2x+6-6= 96-6

2x= 90

divide by 2 on both sides

x= 45

2 column proof

2x+6 and 96 Vertical opposite angles

2x+6 = 96

x=45 vertical opposite angles are congruent

Answer 2

The answer in the procedure

Explanation:

we know that

Vertical Angles are the pair of congruent angles opposite each other when two lines cross

In the given figure

`(2x+6)\°=96\°` -----> by vertical angles

solve for x

`2x=96\°-6\°`

`2x=90\°`

`x=45\°` ------> is ok