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maksim [4K]
3 years ago
12

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

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

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)

<em>Here's your equation, by the way.</em>

<em />

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!

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