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What is the missing angle? (Please use image attached)

What Is The Missing Angle Please Use Image Attached class=

Sagot :

Answer:

56

Step-by-step explanation:

Since vertical angles are equal, we know the two angles labeled are equal.

We can then set up an equation to get

[tex]19x-28=9x+52.[/tex]

Subtracting [tex]9x[/tex] from both sides to isolate the variable gives us

[tex]10x-28=52[/tex].

Then, adding [tex]28[/tex] to both sides gives

[tex]10x=80,[/tex]

and dividing both sides by 10 gives

[tex]x=8.[/tex]

Now, we can find the measure of [tex]9x+52[/tex] by plugging what we found for [tex]x[/tex] in:

[tex]9(x)+52=9(8)+52=72+52=124.[/tex]

Since the angles ? and 9x+52 make up a line, they are supplementary. Therefore, we have

[tex]?=180-(9x+52)=180-124=\boxed{56}.[/tex]

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