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Why do the angles around vertexes in truncated icosahedron not add up to 360 degrees?
The angles around the vertexes of a truncated icosahedron (120+120+108) do not add up to 360 because they are not all in the same plane, ie. the polyhedron is a 3D structure not 2D. If the vertex is projected onto a 2D surface the angles become 124:20 +124:20 +111:20 which do add up to 360. Anyone with an IQ greater than their shoe size would know this :-)
What else can I help you with?
How many angles does the icosahedron have?
A regular icosahedron has 20 faces (equilateral triangles), 30 edges and 12 vertices.
What degrees are the angles of a hexagon?
Exterior angles add up to 360 degrees Interior angles add up to 720 degrees
What angles add up to 360 degrees?
explementary angles add up to 360 degrees supplementary angles add up to 180 degrees complementary angles add up to 90 degrees
If the angles in a triangle are 30 degrees 60 degrees and 90 degrees is called what type of triangle is it?
A right angles triangle, as one of the angles in the triangle is 90 degrees.
What is the sum of the measures of the angles in a heptagon?
Exterior angles 360 degrees Interior angles 900 degrees
How many angles and vertexes does octagon have?
An 8 sided octagon has 8 angles and 8 vertices
How many angles does the icosahedron have?
A regular icosahedron has 20 faces (equilateral triangles), 30 edges and 12 vertices.
What shape has more edges than a trapezoid and no obtuse angles and fewer vertexes than a hexagon?
an octagon
Why are scalene triangles and equilateral triangles a like?
they both have 3 sides, 3 angles, and 3 vertexes
Are all angles acute?
No, angles smaller than 90 degrees are acute, angles bigger than 90 degrees are obtuse, angles that are 90 degrees exactly are right-angles, and angles larger than 180 degrees are reflex angles.
Kinds of angles according to measure?
Angles that are less than 90 degrees are acute angles. Angles that are 90 degrees are right angles, and angles that are greater than 90 degrees are obtuse angles.
What is an angle measuring between 91 degrees and 179 degrees?
It is an "obtuse angle."Angles that are less than 90 degrees are "acute angles."Angles that are exactly 180 degrees are "straight angles."Angles that are exactly 90 degrees are "right angles."
What angles Does the decagon have?
The internal angles are 144 degrees. The external angles are 36 degrees.
Angles two angles who's sum is 180 degrees?
Angles that add to 180 degrees are called supplementary angles, while angles that add to 90 degrees are called complentary angles.
Can the sum of the 5 vertexes of a pentagram that is inscribed within a circle be determined?
The sum of the (inside) vertex angles of a five-sided (regular or irregular)polygon is 540 degrees whether it is inscribed within a circle or not. Sum = (n x 180) - 360 = (5 x 180) - 360 = 540 degrees.
Complimentary angles are always what angles?
Complementary angles are angle that have degrees that add to 90 degrees.
What type of angles are 3 and 6?
Angles of 3 degrees and 6 degrees are acute angles.
