Question

Solve for X

Explain if possible :)

Answer 1

The two labeled angles are alternate interior angles, and as such, they are the same.

From this result you can build the equation

`15x-2 = 13x+2`

and solve it for x: subtract 13x from both sides to get

`2x-2=2`

and add 2 to both sides to get

`2x = 4 \implies x = 2`

Check: if we plug the value we found we have

`13\cdot 2 + 2 = 26+2 = 28 = 15\cdot 2 - 2 = 30-2`

So the angles are actually the same, as requested.