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Is there a maximum number of obtuse exterior angles a polygon can have?
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.
What is an angle that measures more than 90 degrees but less than 180 degrees called?
An angle that measures more than 90 degrees but less than 180 degrees is called an "obtuse" angle. Note Angles less than 90 degrees are called "acute" angles. An angle that is exactly 90 degrees is called a "right" angle. Angles that are more than 90 degrees but less than 180 degrees are call "obtuse" angles. An angle that is exactly 180 degrees is called a "straight line". Angles that are more than 180 degrees and less than 360 degrees are called "reflex" angles.
What polygon has interior angles that are all obtuse?
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).
If the measure of one angle of a triangle is 10 degrees more than the smallest angle The Measure of the third angle is 50 degrees more than the smallest Find the three angles?
The three angles are 40, 50 and 90 degrees.
How do you list angles from smallest to largest?
Acute angles are greater than 0 but less than 90 degrees Right angles are 90 degrees Obtuse angles are greater than 90 but less than 180 degrees Reflex angles are greater than 180 but less than 360 degrees A full turn is 360 degrees
Is it possible to have a regular polygon be concave.. why or why not?
No. It is impossible.The definition of a regular polygon is a polygon with equal angles, and equal sides.For a polygon to be concave, it has to have at least one angle more than 180 degrees, and a a polygon cannot consistently have angles more than 180 degrees.
What is a polygon that has no interior angles greater than 180 degrees?
A convex polygon.
What is interior angles?
The angles between adjacent sides of a polygon that are interior to the polygon. If the polygon is convex, the interior angles are always less than 180 degrees. If it is concave, at least one interior angle will be greater than 180 degrees.
Which shapes are obtuse angles?
An obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees. The internal angles of any regular polygon with 5 or more sides will be obtuse.
How many sides does a regular polygon have if the interior angles are 24 degrees?
The interior angles of a regular polygon cannot be less than 60 degrees so 24 degrees is not possible. ------------------------------- However a regular polygon with EXTERIOR angles of 24° has 360° ÷ 24° = 15 sides.
Is a star a convex polygon?
No. In a convex polygon, all the internal angles are smaller than 180 degrees.
Does a polygon have more sides than angles?
No
What is the number of angles if the sum of the interiors angles are 40?
No polygon can have a sum of interior angles less than 180 degrees.
Can a regular polygon's interior angles measure 40 degrees?
No. To elaborate, the smallest regular polygon, an equilateral triangle, has 60 degree interior angles. The next larger one, a square, has 90 degree interior angles. In fact, for any regular polygon, the interior angles measure 180*(n-2)/n degrees, where n is the number of sides. No polygon has less than 3 sides. Thus, no regular polygon can have interior angles less than 60 degrees.
What shape is a convex hexagon?
A convex hexagon is a simple polygon whose interior is a convex set. It is a six-sided polygon, and it has no angles pointing inwards, meaning that no internal angles can be more than 180 degrees.
What polygon has no parallel sides and all acute angles?
A triangle having all angles less than 90 degrees is a polygon having no parallel sides and all acute angles.
Is there a maximum number of obtuse exterior angles a polygon can have?
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.
