Answer:
w = 16
Explanation:
If it is a regular hexagon, that means each of its angles are congruent. First, we need to find the sum of the interior angles. We can use the equation (n-2) * 180, where n is the measure of how many sides in the polygon.
Substituting the values we get:
(6 - 2) * 180, which equals 720.
Now that we know the sum of all the interior angles in a hexagon is 720°, we can then divide by 6, because a regular hexagon has 6 sides and congruent angles.
720/6 = 120°
Knowing that one angle of the hexagon is 120°, we can now solve the equation to find w.
7w + 9 = 120
7w = 111
w = 111/7 (which is approximately 15.86)
Rounded to the nearest whole number is 16.
w = 16