Question

How do you solve for x?​

Answer 1

`\boxed {x = 7}`

Explanation:

-Both angles labeled measurements are Alternate Exterior Angles. Since both angles with their measurements are Alternate Exterior Angles, then that would mean it equals each other. So, to find the value of
`x`, you need write an expression by using the measurements of both angles and solve for
`x`:

First angle:
`50\textdegree`

Second angle:
`7x + 1`

`50 = 7x + 1`

-Solve for
`x`:

`50 = 7x + 1`

`7x + 1 = 50`

`7x + 1 - 1 = 50 - 1`

`7x = 49`

`(7x)/(7) = (49)/(7)`

`\boxed {x = 7}`

Therefore, the value of
`x` is
`7`.

Answer 2

x = 7

Explanation:

Because of the Alternate Exterior Angles Theorem, (7x + 1) = 50. (It states that if two lines are parallel, the resulting alternate exterior angles will be congruent)

Now, just solve for x from that equation:

1. 7x + 1 = 50

2. 7x = 49

3. x = 7

Step 1 is the given equation found by using the alternate exterior angles theorem

In Step 2, 1 was subtracted from both sides of the equation

In Step 3, both sides of the equation were divided by 7