Question

Write a 2 column proof



Prove x=45

Answer 1

Answer:

The answer in the procedure

Step-by-step 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

Answer 2

Answer:

Proved that x= 45

Step-by-step 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