Question

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

Answer 1

Answer:

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°

Answer 2

Answer:See below

Step-by-step explanation:

These angles are equal. All that needs to be done is setting the equations as equal and solving for the variables. Once the variables are found, input them back into the equation to find the angles. Once the variables are put into both equations, the result should be equal.