In today's geometry lesson, we will show that the sum of the interior angles in a pentagon is 540°. And then we will generalize the proof to get a formula that can be used to find the sum of all … [Read more...] about Sum of Angles in a Pentagon
Pentagons and Hexagons
Pentagons are polygons with 5 sides. The sum of the interior angles in a pentagon is 540°.
In a regular pentagon, all the sides and all the angles are equal, and so each of the interior angles measures 540°/5= 108°.
Similarly, hexagons are polygons with six sides. The sum of the interior angles in a hexagon is 720°.
In a regular hexagon, all the sides and all the angles are equal, and so each of the interior angles measures 720°/6= 120°.
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Now that we've explained the basic concepts of pentagons and hexagons in geometry, let's scroll down to work on specific geometry problems relating to this topic.