answersLogoWhite

0


Best Answer

The fastest way to do this one is see that the exterior angle is 180-175.2=4.8°

Since all exterior angles must add to 360° or a complete circle, take 360/4.8=75

A regular n-gon has a sum of interior angles equal to 180(n-2). An n-gon also has n angles. Therefore, from the problem statement, 180(n-2) = 175.2n, or n = 360/4.8 = 75.

User Avatar

Wiki User

βˆ™ 14y ago
This answer is:
User Avatar
User Avatar

Anonymous

Lvl 1
βˆ™ 4y ago
What’s the answ

Add your answer:

Earn +20 pts
Q: Each interior angle of the regular n-gon has a measure of 175.2 degree find the value of n?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Which is the measure of one interior angle of a regular triangle?

45 degree


What is the degree measure of each interior angle of a regular triangle?

60º


Which regular polygon has an interior angle whose measure is 108 degree?

hextogonImproved Answer:-A regular pentagon which has 5 sides


A Regular Polygon has 335 sides What is the degree measure of one interior angle?

360degrees/335 interior angles=1.075degrees


What is the measure of an interior angle that has a regular polygon with 20 sides?

Each interior angle will measure 162 degrees


What is the measure of each interior angle of a decagon?

144˚


What is each interior angle measure of a regular pentagon?

180 degree( 5-2) is the sum of the interior angles. Now divide this by 5 since it is regular and that tells us all the angles have the same measure.


What is a measure of an interior angle of a regular 15-gon?

the formula for an n-sided polygon to find it's interior angle is (n-2)180/n so the answer is 156 degree's.


What is the measure of each interior angle of a fifteen sided regular polygon?

The measure of each interior angle of a fifteen sided regular polygon, a pendedecagon, is 156o.


How many sides does a regular polygon have if its each angle is of measure 108 degree?

If each of its interior angles is a measure of 108 degrees then it will have 5 sides and is called a regular pentagon.


How can you get the measure of an interior angle if you have the measure of the exterior angle of a regular polygon?

It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line


What is the degree measure of one interior angle?

120