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The sum of the angle measures of a quadrilateral is 360°. Write and solve an equation to find the value of x.
 The two known numbers are 112 and 73.

PLZ HELP I NEED ANSWERS!!!
I HAVE TO TURN IN SOMETHING FOR ALGEBRA TOMORROW!!!!

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Mathunga

Given: The shape is a quadrilateral, which means four angles with a sum of 360°. The known measures are 112 and 73, and there are two unknown measures. They are probably identical, considering the fact that they both have the variable x.

Numerically, this would be [tex]112 + 73 + x + x = 360[/tex].

Simplify.

[tex](112 + 73) + (x + x)[/tex] = 360

--> [tex]185 + 2x = 360[/tex]

Isolate the variable by subtracting 185 from both sides.

[tex]2x = 360 - 185[/tex]

--> 2x = 175

If 175 is twice as much as x, then [tex]x = \frac{175}{2}[/tex]

x = [tex]87.5[/tex]

Plug in the value of x:

[tex]112 + 73 + 2(87.5) = 360[/tex]

--> [tex]185 + 175 = 360[/tex]

X has an angle measure of 87.5°

To solve this question, we need to know that:

  • The sum of the angles of the quadrilateral is 360º.
  • Two of the angles are 112º and 73º.
  • A quadrilateral has 4 angles, so the other 2 are x, and we have to solve for x.

Doing this, we get that: x = 87.5º

Sum of 360º:

This means that:

[tex]2x + 112 + 73 = 360[/tex]

We solve this for x.

[tex]2x = 360 - 112 - 73[/tex]

[tex]2x = 175[/tex]

[tex]x = \frac{175}{2}[/tex]

[tex]x = 87.5[/tex]

Thus, the solution is x = 87.5º

A similar question is given at https://brainly.com/question/24327450

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