Question

Solve for x to make A||B.
A
B
7x
4x + 36
x = [?]

Answer 1

Hello!

Answer:

`\Large \boxed{\sf x = 12}`

Explanation:

→ We want to solve for x to make A||B.

→ To make A||B, the alternate internal angles must be equal.

→ So we have this equation:

`\sf 7x =4x + 36`

→ Let's solve this equation to find x:

◼ Subtract 4x from both sides:

`\sf 7x -4x=4x + 36-4x`

◼ Simplify both sides:

`\sf 3x= 36`

◼ Divide both sides by 3:

`\sf (3x)/(3) = (36)/(3)`

◼ Simplify both sides:

`\boxed{\sf x = 12}`

Conclusion:

If x is equal to 12, A is parallel to B.