How to determine the number of sides given one interior angle

👉 Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon is the angle between two sides of the polygon. For a regular polygon, the interior angles are congruent (equal).

The sum of the interior angles of a regular polygon is given by the formula: 180(n - 2) degrees, where n is the number of sides of the polygon. Thus, given one of the interior angles of a polygon, say m, to find the number of sides of the polygon, we solve for n in the equation: 180(n - 2) = mn, where m is the given interior angle measure.

Organized Videos:
✅Polygons
✅Sum of Exterior Angles of a Polygon
✅One Exterior Angle of a Polygon
✅Number of Sides of a Regular Polygon
✅Sum of Interior Angles of a Polygon
✅One Interior Angle of a Polygon
✅Interior Angle Sum of a Polygon
✅Interior and Exterior Angles of Polygons
✅Classify Polygons
✅Congruent Polygons
✅Similar Polygons

Connect with me:

#Polygons #brianmclogan

[Ollurim]

I know this is a very old video, but I still wanted to say thank you. This definitely helped a lot.

[motupatlu]

There is a much simpiler way 180-156=24
360÷24=15

[floramoayed]

Thank you so much, your explanation was much more helpful than others.

[stultusmus]

Wow... i learnt this in 5 minutes! Thank you

[air_]

I love how he is dilebratly avoiding the camera 😂
Thanks!

[megv]

that was... something i actually understood, thanks!

[wrldxm]

this may be 6 years old but still helpful thnx

[NotNathanH]

Thanks! Im in geometry right now and need to take a test based on this. So this really helped me understand the formula.

[cameronglenn]

this video saved my life i almost killed myself tryna do my homework

[jeffro]

why is the sum of the triangle 180 and the sum of the square 360?

[biggusrichard]

Stop haunting me your example is the same problem i needed help on

[anikatabassum]

I’ve an easy method
Let us consider the regular polygon is 165 degree
=(180-165) degree
=15 degree
=360/15 = 24
Therefore, there are 24 sides for 165 degree

[Boxolotl]

Holy smokes Peter Griffin is in Fortnite

[trinityredford]

Is there a flat out formula for this?
(180-x)÷360=n
x=one interior angle if regular polygon
n=number of sides

[Malakfox]

Math is hard but thanks I understand now! :)

[NukeDaCat]

wait.... your doing number 7 and im doing number 7. hmm, im doing the cambridge igcse 2018 book but this vide was published 10 years ago how in the world does that make sense?

[samarabhikha]

who knew 8 years later this would still be helping us

[St-jhpk]

Thank you, this really helped me understand!

[goldenfish]

Thank you! This help me understand my math work.

[liferacer]

Thank you, I was struggling for a while to understand but its all good now