Polygon G H I J K has 5 sides.
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)°.

Polygon G H I J K has 5 sides Which statements are true about the regular polygon Select three options The sum of the measures of the interior angles is 900 Eac class=

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Answer:

Each interior angle measures 108°.

All of the angles are congruent.

The polygon is a regular hexagon.

Step-by-step explanation:

  • Each interior angle measures 108°.
  • All its angles are congruent.
  • Sum of the measures of the interior angles is 180(5 – 2)°

What is a Regular Polygon?

A regular polygon has equal side lengths and congruent interior angles.

The sum of the interior angles of any regular polygon is determined using the formula: (n - 2)180, where n is the number of sides.

Thus, given polygon GHIJK has 5 sides, we would have the following:

The polygon is a regular pentagon.

Sum of all its interior angles = (5 - 2)180 = 540°.

Each interior angle = 540/5 = 108°

Therefore, the statement that is true about the regular polygon are:

  • Each interior angle measures 108°.
  • All its angles are congruent.
  • Sum of the measures of the interior angles is 180(5 – 2)°

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