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DerKrebs [107]
3 years ago
6

What is the value of v?

Mathematics
1 answer:
frosja888 [35]3 years ago
4 0

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

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According to the given question.

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