2 Answers

Bob Arnson · Answer 1 · 2022-12-17T18:25:43+0000

Problem:-

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

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

Solve for x.

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

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

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

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

$\sf{2x=40}$

$\sf{(2x)/(2)={(40)/(2)}}$

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

#Hope it helps!

(ノ^_^)ノ

Pbojinov · Answer 2 · 2022-12-19T19:09:04+0000

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