Question

Please help meeeeeee!!​

Answer 1

Since m is parallel to n, the angle opposite to 4x-23 will be 2x+17. These are vertical angles, meaning they’re the same.
4x-23=2x+17
2x=40
x=20

Answer 2

Problem:-

Find x so that m || n. Show your work.

Solution:-

Since m || n, 4x – 23 = 2x + 17 by the Converse of alternate exterior angles theorem.

Solve for x.

$\sf{4x-23=2x+17}$

$\sf{4x-2x-23=2x-2x+17}$

$\sf{2x-23=17}$

$\sf{2x-23+23=17+23}$

$\sf{2x=40}$

$\sf{\frac{2x}{2}={\frac{40}{2}}}$

$\sf{x={\color{magenta}{20}}}$

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#Hope it helps!

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