Question

Solve for x in the diagram below.

Answer 1

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}}`

Answer 2

35 degrees

Explanation:

Given all 3 angles add up 180(Sum of angles in a straight line)

`2x + 30 + 40 + 40 = 180 \\ 2x + 110 = 180 \\ 2x = 180 - 110 \\ 2x = 70 \\ x = 35deg`