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What must be the sum of all interior angles that meet at a vertex if a figure is to tessellate a plane?
Wiki User
∙ 13y ago
360 degrees
Wiki User
∙ 13y ago
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What are angles that share a vertex and a side of a transversal but no interior points?
Adjacent Angles
What kind of angles share a vertex and a side but no interior points?
Adjacent angles
What is an exterior and interior angles?
The exterior and interior angles of each vertex of a polygon add up to 180 degrees.
Do the diagonals of a rectangle bisect vertex angles?
No, but the diagonals of a square does bisects its interior angles.
What are interior angles that do not share a vertex with exterior angles?
Non-existent in ordinary shapes.
Why can't a regular octagon tessellate?
To be able to tessellate where a vertex meets other vertices, the total of those angles must be a full circle of 360°. The interior angle of an Octagon is 135° which does not divide into 360° which means there cannot be a complete number of vertices meeting and so it cannot, by itself, tessellate. However, two octagons meeting at a point would have 135° + 135° = 270° leaving 90° which is the interior angle of a square. So octagons and squares together will tessellate.
Angles that have common vertex and a common side but no common interior end points?
Complementary angles
What are two angles with a common vertex and a common side and no interior points in common?
Adjacent angles.
What are 2 angles with a common vertex a common side and no common interior points?
Adjacent angles.
When two angles in a plane share a vertex and a side but no common interior points they are called what angles?
opposite angles
Can a regular pentagon and two regular hexagons meet at a vertex of a tessellation?
No. The interior angle of a regular pentagon is 108 degrees, the interior angle of a regular hexagon is 120 degrees. So, at the vertex, the three polygons will have angles adding up to 108+120+120 = 348 degrees. To tessellate, or cover the surface, they must add to 360 degrees.
Is the measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle?
No. The interior angle and exterior angle at the same vertex are supplementary. Each of them is (180 degrees minus the other). In rectangles (including squares), the interior and exterior angles at each vertex are both right angles.
