Question

Solve for x in the diagram below.

Answer 1

Answer:

35 degrees

Step-by-step explanation:

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

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

Answer 2

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

$\bf{x=35}$

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$\bf{Result:}$

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

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