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Solve for x in the diagram below.

Solve for x in the diagram below.-example-1
User Lmazgon
by
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2 Answers

6 votes

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}}

User DSlagle
by
8.1k points
8 votes

Answer:

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

User Loathing
by
8.2k points

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