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) °.

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Mathematics

Pugsley

6 November, 16:35

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) °.

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Tianna Kline 6 November, 17:07
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Lauren Cooper · Answer 1

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

Step-by-step explanation:

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 ...