Question

HURRY PLEASE!!! I HAVE TO TURN THIS IN SOON!!!

Answer 1

Answer:

$\huge\boxed{x=59}$

$\texttt{Read the explanation for the equation.}$

Step-by-step explanation:

Given that lines $l$ and $m$ are parallel, that means that we can establish some basic angle relationships here.

Since both lines are cut by a transversal, that means all angles formed by that line will be equivalent.

$(3x-33)\textdegree$ and $(2x+26)\textdegree$ are going to be equivalent because they are alternate exterior angles. These are formed by two parallel lines being cut by a transversal, and they will always be equal.

Since we know that both angles are equivalent to each other, we can set the expressions equal to each other to find x.

$(3x-33) = (2x+26)$

Here's your equation, by the way.

We can now solve for x.

$3x-33=2x+26$

Add 33 to both sides:

$3x=2x+59$

Subtract 2x from both sides:

$x=59$

Therefore, x = 59.

Hope this helped!