Find the value of x. Hint: The sum of the angle measurements of a quadrilateral is 360 degrees.

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Riia Riia · Answer 1 · 2018-09-04T14:41:29+02:00

In the given quadrilateral, it is given that, two angles have measurements

[tex] (4x-4) each [/tex]

And two have measurement

[tex] (3x+2)each . [/tex]

And sum of measurement of angles of a quadrilateral is 360 degree, that is

[tex] 4x-4+4x-4 +3x+2 + 3x+2 =360 \\ 14x-4 = 360 \\ 14x = 364 \\ x = 26 [/tex]

SO for the given quadrilateral, the value of x is 26 .

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eudora eudora · Answer 2 · 2019-09-30T21:59:37+02:00

Answer:

x = 26 will be the answer.

Step-by-step explanation:

The given angles are (4x - 4)° and (3x + 2)°

Since rest two angles of the quadrilateral are equal to these angles respectively.

Therefore, by the property of quadrilateral,

Sum of all angles of a quadrilateral = 360°

2[(4x - 4)+(3x + 2)]= 360°

2[4x + 3x - 4 + 2] = 360°

2(7x - 2) = 360°

7x - 2 = [tex]\frac{360}{2}[/tex]

7x - 2 = 180

7x = 180 + 2

7x = 182

x = [tex]\frac{182}{7}[/tex]

x = 26

Therefore, x = 26 will be the answer.