Question

Instructions: Given the following image of two parallel lines cut by a transversal, find the value of x.​

Answer 1

x= 6

Explanation:

First, these angles are alternate interior angles.

Next, set each angle equal to each other.

9x+1= 10x-5

Next, solver for x.

Step 1- Subtract 9x to both sides.

9x+1= 10x-5

-9x -9x

Step 2- Add 5 to both sides.

1= 1x-5

+5 +5

Step 3- Divide both sides by 10.

6= 1x

6 6

x= 6

Answer 2

interior angles

10x-5=9x+1

x=6

Explanation:

first move the 9x to the left hand side then chnage its sign

10x-5=9x+1

10x-9x-5=1

then move -5 to the right side

10x-9x=5+1

the finally combine like terms

10x-9x= 1x (or just x)

5+1= 6

x=6