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omeli [17]
2 years ago
15

I need this solved real quick

Mathematics
1 answer:
fgiga [73]2 years ago
7 0

Answer:

  125

Step-by-step explanation:

The value of x can be found by making use of the sum of angles of a hexagon.

__

<h3>angle sum</h3>

The sum of angles of an n-sided convex polygon is 180°(n -2). For a hexagon, which has 6 sides, the sum of angles is 180°(6 -2) = 720°.

__

<h3>setup</h3>

The listed angle values must total 720°.

 (x -30)° +(x +25)° +110° +115° +x° +x° = 720°

  4x° +220° = 720° . . . . . collect terms

__

<h3>solution</h3>

Subtract 220° to get the x-term by itself.

  4x° = 500°

  x = 125 . . . . . . . . divide by 4°

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