2 Answers

DSlagle · Answer 1 · 2023-08-27T05:30:32+0000

SOLVING

$\Large\maltese\underline{\textsf{A. What is Asked}}$

Solve for x in the diagram below.

$\Large\maltese\underline{\textsf{B. This problem has been solved!}}$

Notice that all 3 of those angles together make a linear pair, or a
$\bf{180^\circ}$ angle.

This is the key to solving this problem, because the sum of these angles is 180 degrees.

$\bf{2x+30+40+40=180}$ | arrange the like terms

$\bf{2x+30=180-40-40}$ | arrange the like terms

$\bf{2x+30=100}$ | subtract 30

$\bf{2x=70}$ | divide by 2

$\bf{x=35}$

$\cline{1-2}$

$\bf{Result:}$

$\bf{=m\angle x=35^\circ}$

$\LARGE\boxed{\bf{aesthetics \\ot1\theta l}}$