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I need this solved real quick-example-1

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Answer:

125

Explanation:

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

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angle sum

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°.

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setup

The listed angle values must total 720°.

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

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

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solution

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

4x° = 500°

x = 125 . . . . . . . . divide by 4°

User Yannick Meeus
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