MATH SOLVE

2 months ago

Q:
# Help me plss need help with theses three

Accepted Solution

A:

interior angle of a regular 18-gon.

It is easier to calculate the exterior angle of a regular polygon of n-sides (n-gon) by the relation

exterior angle = 360/n

For a 18-gon, n=18, so exterior angle = 360/18=20 °

The value of each interior angle is therefore the supplement, or

Interior angle = 180-20=160 degrees.

Naming of a 9-gon

A polygon with 9 vertices is called a nonagon (in English) or enneagon (French ennéagone, but the English version is sometimes used)

You had a good start with the correct answer.

Exterior angle of a 15-gon

The exterior angle of a 15-gon can be calculated using the relation given in the first paragraph, namely

Exterior angle = 360/15=24 degrees

It is easier to calculate the exterior angle of a regular polygon of n-sides (n-gon) by the relation

exterior angle = 360/n

For a 18-gon, n=18, so exterior angle = 360/18=20 °

The value of each interior angle is therefore the supplement, or

Interior angle = 180-20=160 degrees.

Naming of a 9-gon

A polygon with 9 vertices is called a nonagon (in English) or enneagon (French ennéagone, but the English version is sometimes used)

You had a good start with the correct answer.

Exterior angle of a 15-gon

The exterior angle of a 15-gon can be calculated using the relation given in the first paragraph, namely

Exterior angle = 360/15=24 degrees