CALCULATOR

Interior & Exterior Angles Calculator

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

If we think of the shape as a house, the interior angles live inside of the house, while the exterior angles live in exile outside of the house.

INTRO

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 interior angles live inside of the house, while the exterior angles live in exile outside of the house.

KEY STEPS

How to Find the Interior & Exterior Angles of Polygons

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

If we think of the shape as a house, the interior angles live inside of the house, while the exterior angles live in exile outside of the house.

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

Step 3. Calculate the sum of interior angles.

For any convex shape with sides, triangles fit inside. For example, triangles fit inside a shape with sides.

And since the angles in a triangle always add up to , the sum of the interior angles is equal to .

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

Step 4. Find the value of an individual angle.

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:

LESSON

— Interior Angles

PRACTICE

— Interior Angles

LESSON

— Exterior Angles

PRACTICE

— Exterior Angles

CONCLUSION

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