Question

calculate the sum of interior angles of a polygon with 5 sides

Answer 1

Step-by-step explanation:

How many triangles do you think a 5-sided polygon will have? Here's a pentagon, a 5-sided polygon. From vertex A we can draw two diagonals which separates the pentagon into three triangles. We multiply 3 times 180 degrees to find the sum of all the interior angles of a pentagon, which is 540 degrees

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Answer 2

Answer:

Here's a pentagon, a 5-sided polygon. From vertex A we can draw two diagonals which separates the pentagon into three triangles. We multiply 3 times 180 degrees to find the sum of all the interior angles of a pentagon, which is 540 degrees.

The General Rule

Shape Sides Sum of Interior Angles

Triangle 3 180°

Quadrilateral 4 360°

Pentagon 5 540°

Hexagon 6 720