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What is the size of each angle on a polygon with 37 sides?
Well, darling, the sum of the interior angles in any polygon can be found using the formula (n-2) * 180, where n is the number of sides. So for a 37-sided polygon, you would have a total of 6300 degrees. Divide that by 37, and you get approximately 170.27 degrees for each angle. Hope that satisfies your polygon curiosity!
How are interior and exterior angles measured?
With a protractor - they can be 360 degrees you know!
How do you find angles of a parallelogram?
To find the angles of a parallelogram, you have to know at least one angle (although it could be an interior or an exterior angle). There are several facts about all parallelograms:the sum of the interior angles is 360˚ (true for all quadrilaterals)opposite angles are congruent (angles that are diagonal in parallelograms have the same measure)consecutive angles are supplementary (angles that are connected by a single side add up to 180˚)If you know any of the interior angles, you can use a combination of the above rules to find the rest. If all you know is an exterior angle, then use the fact that an interior angle and its exterior angle are supplementary (because they are a linear pair--they make a line) to find the measure of the interior angle; then use the rules given above.
How do I find a missing diagonal in a rhombus?
The answer depends on what information you do have about the rhombus. Assuming that you know the length of the sides and one of the diagonals, then,In the triangle formed by the given diagonal and the sides of the rhombus, you know all three sides. So you can use the cosine rule to calculate the angle between the sides of the rhombus.The other pair of angles in the rhombus are its supplement.So now you know two sides and the included angle of the triangle formed by the missing diagonal and the sides of the rhombus.You can use the cosine rule again to find the missing diagonal.
Interior angles of an octagon?
Yes, they do exist. If you want to know something about them you will need to be more specific.
How do you find the number of sides in an equiangular polygon given the measures of the interior angles?
Type your answer here... The sum of the angles in all polygons is 360 degrees. Thus, if you know the measure of the interior angles you can divide 360 by the measurement to find out how many interior angles and sides there are.
What is the size of each angle on a polygon with 37 sides?
Well, darling, the sum of the interior angles in any polygon can be found using the formula (n-2) * 180, where n is the number of sides. So for a 37-sided polygon, you would have a total of 6300 degrees. Divide that by 37, and you get approximately 170.27 degrees for each angle. Hope that satisfies your polygon curiosity!
If you know the sum of the angles of a regular polygon how can you find the measure of one of the congruent angles?
Each interior angle = sum of angles/number of sides
How do you determine the sides of two regular polygons if their sides and interior angles are in ratio order?
You need to know the sides of one to be able to determine the sides of the other.
How do you know that a trapazoid measures to 360 degrees?
The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees.A trapezoid is a quadrilateral - it has 4 sides. Therefore its interior angles sum to (4 - 2)*180 = 360 degrees.
How do people know that a polygon is regular?
It is a regular polygon when its sides are of equal length and its interior angles are of equal sizes
What is the sum of the interior angles of a convex polygon?
The sum of the interior angles of a convex polygon is 180*(n-2) degrees, where n is the number of vertices and angles.That depends on how, many sides the polygon has.-- Subtract 2 from the number of sides.-- Multiply that number by 180.-- The result is the sum of the interior angles in that polygon.It doesn't matter whether the sides of the polygon are all equal ("regular" polygon), orwhether it's all funny and squashed. You only need to know the number of sides it has.
Calculating how many sides a Regular polygon has?
The name tells you how many sides. If you are given one external angle, say A, then you know that the number of sides multiplied by A =360 since the sum of the exterior anlges is 360. If you are given the sum of the interior angles, you can find the number of side using the formula that sum of interior angles =(number of sides-2)180 degrees.
Why does polygons exterior angles equal 360 degrees?
Let's assume our polygon is a n-gon with n sides. So, there are an equal number of interior and exterior angles.We know that:1 Exterior + 1 Interior = will give us 180º\ \ ________________\___________Side of a trapezium using symbols.Thus, the total of the exterior angles and interior angles will be 180nº [a]As we know, the formula for the sum of interior angles is 180(n-2)º [b]Subtracting [a] from [b], we get180n - 180(n-2)This can be simplified to180(n-n+2)Again, we can simplify that to180*2which gives us360ºThus, we have proved that the exterior angles of any polygon always equal 360º, no matter the number of sides.
What can you conclude about the angles inside a regular polygon?
Theorem: The sum of the interior angles in a polygon with n sides is 180º(n - 2).In the pentagon below, we have labeled the interior angles 1, 2, 3, 4, and 5. Each of these is supplementary respectively to exterior angles 6, 7, 8, 9, and 10. Therefore we have: We know that angles 1 through 5 in a pentagon have a sum of 540º. We substitute 540º for these angles and we have:. Subtracting 540º from both sides, we can find the sum of the five exterior angles of this pentagon: .
What is the measure of the interior angles if the sum of the angles is 3960?
To find the measure of each interior angle in a polygon when the sum of the angles is given, you divide the total sum by the number of angles in the polygon. If the sum of the interior angles is 3960, and the polygon is a hexagon (6 sides), each interior angle would measure 660 degrees (3960 ÷ 6 = 660). This is because the sum of the interior angles of a polygon with n sides is given by (n-2) * 180 degrees.
Has 4 equal sides its opposite sides are parallel and its angles may be right angles?
I know it must be a rectangle!
