## Interior & Exterior Angles in the House! 🏠

The interior angles of a polygon are angles inside the shape. The exterior angles of a polygon are angles outside of the shape formed between any side of the polygon and a line extended from the side next to it.If we imagine the polygon as a house, the

__in__terior angles live__in__side of the house, while the__ex__terior angles live in__ex__ile outside of the house.### Interior & Exterior Angles Calculator

#### Step 1. Determine whether you’re looking for interior or exterior angles.

__in__terior angles live

__in__side of the house, while the

__ex__terior angles live in

__ex__ile outside of the house.

Pick which type of angles you’re looking for.

### Recap 🧢: How to Find the Interior & Exterior Angles of Polygons

#### Step 1. Determine whether you’re looking for interior or exterior angles.

__in__terior angles live

__in__side of the house, while the

__ex__terior angles live in

__ex__ile outside of the house.Type of Angles:

#### Step 2. Count the number of sides ($n$) the shape has.

#### Step 3. Calculate the sum of interior angles.

$sum of interior angles =180_{∘}×(n−2)=180_{∘}×(n−2) $

#### Step 4. Find the value of an individual angle.

**If your shape is regular**, just divide the sum of the interior angles by the number of sides/angles:

$each interior angle =nsum of interior angles =n180_{∘}×(n−2) $

**If your shape is irregular**and you have the values of all the other interior angles, you can find the missing angle by subtracting your given angles from the sum:

$unknown angle =sum of interior angles−sum of given interior angles=180_{∘}×(n−2)−sum of given interior angles $

Learn more about interior & exterior angles. Pick where you want to start!You can also use the Quick Links menu to jump to the section you’d like to explore!