Final answer:
The value of x in a hexagon with three angles each x and the other three each 3x° is found using the sum of the interior angles of a hexagon formula. Simplifying the equation 3x + 9x = 720 gives x = 60°, which is option (c).
Step-by-step explanation:
The question deals with finding the value of x in a hexagon where three of the angles are each x, and the other three are each 3x degrees. The sum of the interior angles of a hexagon is (n-2) × 180°, where n is the number of sides. For a hexagon, this means 4 × 180°, which equals 720°.
We have three angles that are x degrees and three that are 3x degrees, thus the equation to find x is:
3x + 3(3x) = 720
Simplifying, we get:
3x + 9x = 720
12x = 720
x = 720 ÷ 12
x = 60°
So, the value of x is 60°, which corresponds to option (c).