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jkw1222p0ttvq jkw1222p0ttvq
  • 11-02-2020
  • Mathematics
contestada

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

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

Respuesta :

jimrgrant1 jimrgrant1
  • 11-02-2020

Answer:

A

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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