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Why does a regular pentagon not tessellate the plane?
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.
What do angles of a point add up to?
The angles of a point add up to 360 degrees, because they make up a full turn and there are 360 degrees in a full turn.
Do exterior angles always add up to 360 degrees?
Yes the exterior angles of any polygon always add up to 360 degrees and there are 360 degrees around the circumference of a circle
If two chords intersect inside a circle the angles formed are called inscribed angles?
Yes and the angles around the point of intersection add up to 360 degrees.
How many degrees is in right angle triangle?
The right angle of a right-angle triangle, like all right angles, is 90 degrees or one quarter of 360 (a full circle). All the angles of any triangle will add up to 180 degrees.
