Answer: v = 32 degrees
Step-by-step explanation:
The polygon theorem states that for any polygon with n sides, the sum of the interior angles is (n - 2) × 180
The given polygon has 6 sides. Therefore, n = 6
The sum of the angles in the polygon is
(6 - 2) × 180 = 3 × 180 = 540 degrees
Therefore,
119 + 134 + 108 + v + 47 + 2v + 2v - 28
Collecting like terms, it becomes
119 + 134 + 108 + 47 - 28 + v + 2v + 2v = 540
380 + 5v = 540
5v = 540 - 380
5v = 160
v = 160/5
v = 32 degrees
