Which statements are true about the regular polygon? Select three options. The sum of the measures of the interior angles is 900°. Each interior angle measures 108°. All of the angles are congruent. The polygon is a regular hexagon. The sum of the measures of the interior angles is 180(5 – 2)°.

A pentagon is a polygon having five sides and equal angles. We can find the sum of the measures of the interior angles through 180*(n-2) where n = 5(number of sides a polygon has)

180*(5-2)= 180(3)=540°

Now the angles are 540/5 = 108°

This shows that the statement:

The sum of the measures of the interior angles is 900° is False

Each interior angle measures 108° is True

All of the angles are congruent is True

The polygon is a regular hexagon is False

The sum of the measures of the interior angles is 180(5 – 2)° is True ....

psm22415 psm22415 · Answer 2 · 2022-01-12T04:48:35+01:00

The statements that are true about the regular polygon can be determined by using the properties of polygon.

Each interior angle measures 108 degrees.

All of the angles are congruent.

The sum of the measures of the interior angles is 180(5 – 2)°.

We have to determine

Which statements are true about the regular polygon?

According to the question,

A polygon having all the sides equal is all regular polygons.

All the sides of the polygon are equal therefore all the angles of a regular polygon are equal.

Properties of a regular polygon are as follows;

All the sides and interior angles of a regular polygon are equal.

A square has all its sides equal, and all the angles are equal to 90°.

A regular pentagon has five equal sides and all the interior angles of the pentagon are equal to 108⁰.

All the angles are congruent.

The polygon is a regular hexagon. The sum of the measures of the interior angles is 180(5 – 2)°.

[tex]\rm = 180(5-2)\\\\= 180 \times 3\\\\= 540 \ degree[/tex]

The polygon is a regular pentagon.

To know more about Polygon click the link given below.

https://brainly.com/question/11994903