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 eq…

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asked Jun 25, 2018 29.8k views

2 Answers

Greg Sansom · Answer 1 · 2018-06-28T02:53:10+0000

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

Oppositional · Answer 2 · 2018-07-01T08:22:57+0000

Answer:

Option c.

Explanation:

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

The sum of exterior angles of any polygon is equal to
$360^(\circ)$ .

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.