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Q: What is the maximum number of sides a polygon can have if each interior angle is obtuse?

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Yes, there is a maximum number. Recall that the sum of the exterior angles is 360 degrees regardless of what kind of polygon it is. Since an obtuse angle is and angle that is greater than 90 degrees, four of them would be greater than 360 degrees so we could not have that in a polygon. Therefore, the maximum number of obtuse angles is 3.

Obtuse

This depends on the polygon.For a triangle (3-sides) : maximum 1 obtuse angle.Quadrialteral (4-sides): maximum 3 obtuse angles.For polygons with more sides, it is possible for all angles to be obtuse.

A regular polygon of n sides (where n > 4) has n obtuse angles. Since there is no limit to the number of sides that a polygon can have, there can be no limit to the number of obtuse angles in a shape.

triangel

An obtuse triangle has 3 sides.

The answer to this would be any acute polygon, such as an equilateral triangle. The definition of acute polygons is that no angle in the polygon is greater than or equal to 90 degrees.

5

A triangle can have only one obtuse angle

5

octagon, trapezoid, pentagon...* * * * *Not true.A trapezium (or trapeziod) must have at least one acute angle.Any regular polygon with 5 or more sides has all obtuse angles. However, an irregular polygon can always have one or more non-obtuse angles (acute, right or even reflex).

It could be an obtuse triangle. If it were a regular polygon then each of its external angles would be 180 -140 = 40 degrees. The sum of the external angles of any polygon is 360 degrees. So if each is 40 degrees, there must be 360/40 = 9 of them. So the polygon is a nonagon, BUT ONLY IF IT IS A REGULAR POLYGON.

An obtuse triangle.

An obtuse scalene triangle would fit the given description

It is a rhombus that has 4 equal sides with 2 equal acute and 2 equal obtuse interior angles that add up to 360 degrees.

no, its a rectangle

The sum of the interior angles of an obtuse triangle as with all triangles is 180 degrees.

A scalene triangle has 3 unequal acute interior angles An obtuse triangle has 1 obtuse and 2 unequal interior angles

isogon: 20 sides proof: 180(n-2)/n 180(18)/20 3,240/20 162 Thus, each angle is 162 degrees, which is greater that 90 making it obtuse.

a triangle that contains an obtuse interior angle

An acute triangle has three interior acute angles An obtuse triangle has one obtuse and two acute interior angles

Yes the interior angles of a regular octagon are obtuse.

In a regular hexagon there are 6 obtuse interior angles.

Polygons can be classified in a number of ways. A convex polygon is one in which a straight line joining any two points inside the polygon lies wholly inside the polygon. One consequence is that all its interior angles are less than 180 degrees. A concave polygon is one in which at least one angle is a reflex angle (> 180 deg). Generally, a polygon may be assumed to be convex unless otherwise specified. A regular polygon is one in which all the sides are of equal length AND all the angles are of equal measure. An irregular polygon is one in which at least one side is of a different length from the others OR at least one angle is of a different measure from the others. Polygons can have three or more sides. There is no limit to the number of sides that a polygon may have. The interior angle of a polygon is pre-determined only if it is regular. In a regular polygon with n sides, each interior angle has a measure of 180*(n-2)/n degrees. A regular triangle [equilateral] is acute angled; a regular quadrilateral [square] is right angled and all other regular polygons are obtuse angled.

All obtuse angles is impossible- the sides wouldn't connect. If it has one (the most it could have), it is classified as obtuse _______ (name of polygon ex. triangle, hexagon, etc)