Question

Which condition will not create a gap or an overlap at a vertex of polygons?

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

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

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

Answer 1

Answer:

Your answer would be:
C.) The sum of the measures of the angles is greater than 360 degrees

Step-by-step explanation:

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Answer 2

Among all there is no condition which will not create a gap or an overlap at a vertex of polygon.

What is polygon?

A polygon is a plane figure that is having finite number of sides which are connected to form a closed figure.

How to determine angle?

In this we have two cases:

case 1: If the polygons are regular.

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

For example: Consider a quadrilateral polygon whose four sides are congruent and each angle is 90°. Then the sum of angles is 90+90+90+90=360°.

case 2: If the polygons are not regular

We know that sum of angles can be found by (n-2)*180°

Suppose polygon is 3 sided so the sum will be (3-2)*180=180° which is less than 360°.

Suppose polygon is 6 sided so the sum will be (6-2)*180°=720° which is greater than 360°.

Hence there is no condition which will not create a gap or an overlap at a vertex of polygons.

Learn more about polygons at https://brainly.com/question/1592456

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