Final answer:
The value of the unknown interior angle x in a hexagon with the given angles is 108 degrees, calculated by subtracting the sum of the known angles from the total sum of interior angles in a hexagon.
Step-by-step explanation:
The subject of the question is Mathematics, and it involves finding the value of an unknown interior angle (x°) in a polygon with six sides, known as a hexagon. The sum of the interior angles in any polygon can be found using the formula (n - 2) × 180°, where 'n' is the number of sides. For a hexagon, n=6, and the sum of the interior angles is (6 - 2) × 180° = 720°. To find the missing angle x°, we add up the given angles and subtract that sum from 720°.
In this case, we have:
- 118° + 115° + 131° + 118° + 130° + x° = 720°
- 612° + x° = 720°
- x° = 720° - 612°
- x° = 108°
Therefore, the value of the unknown interior angle x is 108 degrees.