gabbyaleja27
gabbyaleja27 gabbyaleja27
  • 24-06-2019
  • Mathematics
contestada

An interior angle of a regular convex polygon is 140°. How many sides does the polygon have?

A. 8

B. 9

C. 10

D. 11

Respuesta :

TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 24-06-2019

Answer:

B

Step-by-step explanation:

We can use the formula for interior angles of a polygon to solve this. The formula is:

Each interior angle of a polygon = [tex]\frac{(n-2)180}{n}[/tex]

Where n is the number of sides

We know each angle is 140°, so we plug that in and find n:

[tex]140=\frac{(n-2)180}{n}\\140n=180n-360\\180n-140n=360\\40n=360\\n=\frac{360}{40}=9[/tex]

The polygon has 9 sides, correct answer B.

Answer Link
jmoises10010 jmoises10010
  • 16-12-2021

Answer: B

Step-by-step explanation:

Answer Link

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