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°