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weeeeeb [17]
2 years ago
6

Please refer to the following attachment and find the value of x.

Mathematics
2 answers:
Drupady [299]2 years ago
7 0

Answer:

5

Step-by-step explanation:

Sum of interior angles in a 4 sided quadrilateral is 360,

110 + 70 + 14x + 23x - 5 = 360

180 + 37x - 5 = 360

180 - 5 + 37x = 360

175 + 37x = 360

37x = 360 - 175

37x = 185

x = 185 / 37

x = 5

egoroff_w [7]2 years ago
5 0

  • ✦\bf{x=5°}✦

Step-by-step explanation:

We know that,

For a tetragon the sum of all 4 angle is 360°

<u>According</u><u> </u><u>to</u><u> </u><u>the question</u><u>, </u>

  • 70+110+(23x-5)+14x=360

  • 180+23x-5+14x=360

  • 37x-5=360-180

  • 37x=180+5

  • 37x=185

  • x=\sf{\dfrac{185}{37} }

  • <em>x</em><em>=</em><em>5</em>
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