Question

Which statements are true about the regular polygon? Check all that apply. 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)°.

Answer 1

Answer: 2,3,5

Explanation:

Answer 2

the complete question in the attached figure

the figure shown is a regular pentagon------> is a polygon with five sides and equal angles
the sum of the measures of the interior angles is=180*(n-2)=180*(5-2)=540°
all 5 angles are 540°/5=108º

we have that
1) The sum of the measures of the interior angles is 900°----> is not true
2) Each interior angle measures 108°------> is true
3) All of the angles are congruent---------> is true
4) The polygon is a regular hexagon-----> is not true
5) The sum of the measures of the interior angles is 180(5 – 2)°----> is true

the answer are
2) Each interior angle measures 108°------> is true
3) All of the angles are congruent---------> is true
5) The sum of the measures of the interior angles is 180(5 – 2)°----> is true