Answered

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Solve for x in the diagram below.

Solve For X In The Diagram Below class=

Sagot :

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Answer:

35 degrees

Step-by-step explanation:

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

[tex]2x + 30 + 40 + 40 = 180 \\ 2x + 110 = 180 \\ 2x = 180 - 110 \\ 2x = 70 \\ x = 35deg[/tex]

SOLVING

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Solve for x in the diagram below.

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

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

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

[tex]\bf{2x+30+40+40=180}[/tex] | arrange the like terms

[tex]\bf{2x+30=180-40-40}[/tex] | arrange the like terms

[tex]\bf{2x+30=100}[/tex] | subtract 30

[tex]\bf{2x=70}[/tex] | divide by 2

[tex]\bf{x=35}[/tex]

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

                    [tex]\bf{=m\angle x=35^\circ}[/tex]

[tex]\LARGE\boxed{\bf{aesthetics \not1\theta l}}[/tex]

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