Question

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

Answer 1

For a 5-sided polygon (n = 5):

- Sum of interior angles = (n − 2) × 180° = 3 × 180° = 540°. (So 900° is false.)
- For a regular pentagon each interior angle = 540° ÷ 5 = 108°. (True.)
- In a regular polygon all angles are congruent. (True.)
- It is not a hexagon (hexagon has 6 sides). (False.)

So the three true statements are:
- Each interior angle measures 108°.
- All of the angles are congruent.
- The sum of the measures of the interior angles is 540°.