all inside angles of a hexagon add up to 720°
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Because the hexagons angles are 120 degrees and the platonic solid wuld add up more than 360 degrees
Oh, dude, like, totally! Yeah, pentagons and hexagons can totally tessellate together. It's like a math party where they fit together perfectly without any gaps or overlaps. So, yeah, they're like the best math buddies for tessellation.
In order for a polygon to tessellate, the angles must add up to 360 degrees, to come full circle. Triangles have 60 degree angles, so 6 of them circle together. Squares have 90 degree angles, so 4 of them tessellate to a point. Hexagons can even tessellate, because the 120 degree angles add up to 360. But pentagons have 108 degree angles. Three of them add up to 324, only leaving 36 degrees left to close the circle.
Regular hexagons have all obtuse angles
None. Though there can be ten if the hexagons are concave hexagons.