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The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.



What is the value of x?



Enter your answer in the box.
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The interior angles formed by the sides of a quadrilateral have measures that sum to 360 What is the value of x Enter your answer in the box x class=

Respuesta :

2x+2x+124+124 = 360
4x+248 = 360
4x = 360 - 248
4x = 112
x = 112/4
x = 28

answer x = 28
calculista

Let

[tex] angle 1=2x [/tex]°

[tex] angle 2=2x [/tex]°

[tex] angle 3=124 [/tex]°

[tex] angle 4=124 [/tex]°


we know that

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°

so

[tex] angle 1+angle 2+angle 3+angle 4=360 [/tex]°

[tex] 2x+2x+124+124=360\\ 4x+248=360\\ 4x=112\\ x=28degrees [/tex]

therefore


the answer is

[tex] x=28degrees [/tex]

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