4 years ago

What is the value of x in the regular polygon below? A. 40 B. 120 C. 60 D. 150

Mathematics

1 answer:

Liono4ka [1.6K]4 years ago

4 0

Answer:

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6, thus

sum = 180° × 4 = 720°

Thus each interior angle = 720° ÷ 6 = 120° and therefore

3x = 120 ( divide both sides by 3 )

x = 40 → A

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