Question

A pair of vertical angles has measures (3x+4)° and (7x−9)° .

What is the value of x?


A. −54

B. 13/4

C. 192 ​

​D. 372 ​

Answer 1

the answer would be B

Explanation:

if they are vertical angles, it means that they are congruent.

3x+4=7x-9

4=4x-9

13=4x

`(13\\)/(4)`=x

Answer 2

B. 13/4

Explanation:

Vertical angles are equal

3x+4 = 7x-9

Subtract 3x from each side

3x-3x+4 = 7x-3x-9

4 = 4x-9

Add 9 to each side

4+9 = 4x-9+9

13 = 4x

Divide each side by 4

13/4 = 4x/4

13/4 =x