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Which condition will create an overlap at a vertex of polygons?

a) The sum of the measures of the angles is less than 360 degrees.
b) The sum of the measures of the angles is equal to 360 degrees.
c) The sum of the measures of the angles is greater than 360 degrees.

I got it. It's c.

Respuesta :

SenpaiTrill
Hello there.

Which condition will create an overlap at a vertex of polygons?

c) The sum of the measures of the angles is greater than 360 degrees

Answer:

Option c.

Step-by-step explanation:

A polygon is a simple closed curve. If a convex polygon has n sides, the sum of its interior angles is equal to [tex](n-2)180^{\circ}[/tex].

The sum of exterior angles of any polygon is equal to [tex]360^{\circ}[/tex].

However, overlap will be created at a vertex of polygons if the sum of the measures of the angles is greater than 360 degrees.

So, option c. is correct.

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