Respuesta :

x=35


Since they are supplementary, you have to set it to 90

x-20+x=90
2x-20=90

Subtract 20 from both sides

2x=70

x=35

Answer:

-The value of [tex]x[/tex] :

[tex]x = 55[/tex]

Step-by-step explanation:

-According to the following problem, the whole angle is a right angle, so, right angles are [tex]90\textdegree[/tex]. So, to get the value of [tex]x[/tex], you need put the following measurements from those both angles [tex](x -20)[/tex] and [tex](x)[/tex] together on one side and equal it to [tex]90\textdegree[/tex] and solve for [tex]x[/tex] :

[tex]x-20 + x = 90[/tex]

Solve:

[tex]x - 20 + x =90[/tex]

-Combine like terms:

[tex]2x-20=90[/tex]

-Add both sides by 20:

[tex]2x - 20 + 20 = 90 + 20[/tex]

[tex]2x = 110[/tex]

-Divide both sides by 2:

[tex]\frac{2x}{2} = \frac{110}{2}[/tex]

[tex]x = 55[/tex]

So, therefore the final answer is [tex]x = 55[/tex] .

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