Please explain the steps to me . i’m genuinely confused

13) 94°

14) 105°

Step-by-step explanation:

13) For this equation, the angles are vertical angles. This means that they equal each other. So the equation would be: 14x-4= 12x+10.

Step 1- Subtract 12x to both sides.

 14x-4= 12x+10

-12x    -12x

Step 2- Add 4 to both sides.

2x-4= 10

    +4  +4

Step 3- Divide both sides by 2.

2x= 14

2    2

x= 7

Now that you know the value of the variable, insert this into the equations.

14(7)-4= 98-4= 94°

12(7)+10= 84+10= 94°

14) For this equation, the angles are alternate exterior angles. This also means that they equal each other. So the equation would be: 16x-7= 15x.

Step 1- Add 7 to both sides.

16x-7= 15x

    +7   +7

Step 2- Subtract 15x to both sides.

16x= 15x+7

-15x  -15x

This leaves you with: x= 7.

Now, insert the value of the variable into the equations.

16(7)-7= 112-7= 105°

15(7)= 105°