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Would the missing angle A be 230 degrees if you are told the exterior angle has an interior angle of 230 degrees?
Wiki User
∙ 14y ago
Angles can't be more than 180 degrees.
Wiki User
∙ 14y ago
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What is the measures of the interior angles of a regular polygon if each exterior angle measures 72?
The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.
How many sides does a regular polygon have if each exterior angle is 2520 degrees?
An exterior angle of 2520 degrees is impossible. Assuming you mean 252 degrees, this would make each interior angle 108 degrees, as 360- 252 = 108. A regular polygon with 108-degree interior angles has 5 sides, or in other words, it is a regular pentagon.
How many regular polygon have both interior and exterior angles that are integers?
To work out the sum of all the interior angles of a shape, we use the formula: 180(n-2) In this formula, n = the number of sides the polygon has. This formula only works out the sum of the interior angles, so to finish it off, we divide the answer by n. The number you get from that is equal to one interior angle of the particular polygon you put in the formula. To work out the exterior angles, you need to know that: Exterior angle + interior angle = 180 degrees. So to get the exterior angle, all we have to do is take the interior angle from 180 degrees. Triangle: 180(3-2) = 180 degrees 180/3 = 60 degrees 180 - 60 = 120 degrees Interior angle: 60 degrees Exterior angle: 120 degrees Square: 180(4-2) = 360 degrees 360/4 = 90 degrees 180 - 90 = 90 degrees Interior angle: 90 degrees Exterior angle: 90 degrees Pentagon: 180(5-2) = 540 degrees 540/5 = 108 degrees 180 - 108 = 72 degrees Interior angle: 108 degrees Exterior angle: 72 degrees You could do this for a long time and check every single polygon up to a 360 sided shape, but that would take ages. If you think about it logically, we already know that: Triangle: Int angle = 60 degrees Ext angle = 120 degrees Integers? YES Square: Int angle = 90 degrees Ext angle = 90 degrees Integers? YES Pentagon: Int angle = 108 degrees Ext angle = 72 degrees Integers? YES Do that for as many as you can, and you'll get a decent idea of which ones do and which ones don't. Just a hint: The more sides a polygon has, the less chance that there'll be an integer for it's interior and exterior angles.
What is relationship between exterior angles and opposite interior angles of a triangle?
The exterior angle of a triangle is equal to the sum of the two opposite interior angles. So if a triangle had points A, B and C: The exterior angle at B would equal the sum of interior angles at A and C. Similarly, the exterior angle at C would equal the sum of interior angles at A and B And the the exterior angle at A would equal the sum of interior angles at C and B.
How many sides would a regular polygon have if one of its exterior angles measures X and one of its interior angles measures 3X?
180 degrees on a straight line. 3x+x = 180 4x = 180 x = 45 Therefore: one interior angle is 135 degrees and one exterior angle is 45 degrees. Total sum of exterior angles of any polygon is 360 degrees. 360/45 = 8 It will be a regular octagon that has 8 equal sides.
What is the sum of angles in a heptagon?
Interior: 900 degrees Exterior: 360 degrees
Can an acute-angled triangle have an acute exterior angle?
No. An interior angle plus its exterior partner add up to 180 degrees. In order for an exterior angle to be acute, its interior partner would have to be obtuse, which doesn't happen in an acute triangle.
What is the sum of the measures of the interior angles of a polygon if each exterior angle measures 90 degrees?
The number of exterior angles (and therefore number of sides and number of interior angles) is equal to 360 divided by the measure of each exterior angle. Since the exterior angles measure 90 degrees, the number of sides is 360/90, or 4.The sum if the interior angles is (180)(s-2), where s is the number of sides. In this cases, it would be (180)(4-2), which is 360 degrees.==============================Slightly simpler and more direct:-- Each interior angle is (180 minus the adjacent exterior angle) = 90 degrees.-- Since each interior angle is 90 degrees, we immediately recognize the polygonto be a rectangle, and we remember that the interior angles of any quadrilateralsum to 360 degrees.
What is the measures of the interior angles of a regular polygon if each exterior angle measures 72?
The interior angle of any regular polygon can be calculated using the formula 180 * (n - 2) / n, where n is the number of sides. In this case, since each exterior angle measures 72 degrees, the interior angle would be 180 - 72 = 108 degrees. So the measures of the interior angles in this regular polygon would be 108 degrees.
What is an antonym for the word exterior?
An antonym to exterior would be interior.
How many degrees are on the outside of a pentagon?
The total of the interior angles of a pentagon = 540 (in a regular pentagon, each interior angle is 108 degrees). The exterior angles would then be 5*(360-108) = 5*252 = 1260 degrees.
What is the Value of each exterior angle in a regular polygon with 10 sides?
The interior angles are 36 degrees since all 10 corners have to add up to 360 degrees. I guess the exterior angle would be 360 - 36 = 324 degrees.
What is the number of sides of a polygon if each of its exterior angles measure 140?
The exterior angle would have to be greater than 180 degrees. If you mean interior angle then a regular nonagon (9 sided) will have angles of 140 degrees.
How many sides does a regular polygon have if each exterior angle is 2520 degrees?
An exterior angle of 2520 degrees is impossible. Assuming you mean 252 degrees, this would make each interior angle 108 degrees, as 360- 252 = 108. A regular polygon with 108-degree interior angles has 5 sides, or in other words, it is a regular pentagon.
What would the angles add up to on a 6 sided shape?
Interior angles add up to 720 degrees Exterior angles add up to 360 degrees
How many regular polygon have both interior and exterior angles that are integers?
To work out the sum of all the interior angles of a shape, we use the formula: 180(n-2) In this formula, n = the number of sides the polygon has. This formula only works out the sum of the interior angles, so to finish it off, we divide the answer by n. The number you get from that is equal to one interior angle of the particular polygon you put in the formula. To work out the exterior angles, you need to know that: Exterior angle + interior angle = 180 degrees. So to get the exterior angle, all we have to do is take the interior angle from 180 degrees. Triangle: 180(3-2) = 180 degrees 180/3 = 60 degrees 180 - 60 = 120 degrees Interior angle: 60 degrees Exterior angle: 120 degrees Square: 180(4-2) = 360 degrees 360/4 = 90 degrees 180 - 90 = 90 degrees Interior angle: 90 degrees Exterior angle: 90 degrees Pentagon: 180(5-2) = 540 degrees 540/5 = 108 degrees 180 - 108 = 72 degrees Interior angle: 108 degrees Exterior angle: 72 degrees You could do this for a long time and check every single polygon up to a 360 sided shape, but that would take ages. If you think about it logically, we already know that: Triangle: Int angle = 60 degrees Ext angle = 120 degrees Integers? YES Square: Int angle = 90 degrees Ext angle = 90 degrees Integers? YES Pentagon: Int angle = 108 degrees Ext angle = 72 degrees Integers? YES Do that for as many as you can, and you'll get a decent idea of which ones do and which ones don't. Just a hint: The more sides a polygon has, the less chance that there'll be an integer for it's interior and exterior angles.
Would movement of the core be considered an interior or exterior force?
Interior
