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.Which condition will create a gap at a vertex of polygons?

The sum of the measures of the angles is less than 360°.


The sum of the measures of the angles is greater than 360°.


The sum of the measures of the angles is equal to 360°.

User Halfdan
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2 Answers

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The sum of the measures of the angles is less than 360°.

Explanation:

User Alesub
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the answer:

for answering this question, we have exactly to cases:

case 1: if the polygons are regular
so the answer is

The sum of the measures of the angles is equal to 360°.

for example, let's consider the quadrilateral polygone ( the four sides are congruent and each angle measures 90°)
so the sum of the angle is 90° +90°+90°+90°= 360°


case 2
if the polygons are not regular (irregular)

the answer is

The sum of the measures of the angles is greater than or less than 360°.

for example, if we consider an irregular polygon of 7 sides that not congruent, and each angle are not congruent, so
the sum of the measures of the angles must be greater than or less than 360°
User Leomeurer
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