What Is the Name of a Polygon With 35 Diagonals

Consequently what is the interior angle of a regular polygon with 35 diagonals. A polygons diagonals are line segments from one corner to another but not the edges.

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60 120.

. Find the number of sides of a polygon with 90 diagonals. Nn 3 2. Number of diagonals can not be negative n10.

Substitute the value of number of diagonals 35. So at any one vertex we can draw 8 diagonals and thus form 8 triangles at each vertex. Let the number of sides of a polygon with 90 diagonals x.

Area of the polygon is 324922dpcm2 Let n be the number of sides of polygon. You have nC2 pairs of vertices n of the pairs are used for sides leaving nC2 - n pairs for diagonals. Hence the figure has 10 diagonals and is a decagon.

The name of a polygon that has four congruent sides with the angles measuring 60 120 60 and 120 is rhombus. There are n sides so there are nn-3 ends of diagonals. Therefore there are nn-32 diagonals in the polygon.

Taking the number of diagonals to be 35 we have. Advertisement Answer Expert Verified 50 5 9 mlcparra16 No. -7 can be ignored so the answer is 10.

Do 8 from HW. 14K views Related Answer. The polygon is decagon.

So we have n points so total number of lines is nC 2. Find the area of the polygon if its apothem measures 10 centimeters. Which happens with some concave polygons.

The number of diagonals of an n-sided polygon is. We know area of the polygon A_p nr2tan180nWhere r is the length of apothem. According to the properties of a rhombus the opposite angles are equal and opposite sides are parallel.

The number of sides of of a polygon with 90 diagonals can be found by using the number of diagonals formula fracnn-32 As we know the total number of sides of a hexadecagon. Name of polygon of sides of diagonals of triangles Sum of angles Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon Hendagon. You have 35C2 595 pairs 35 of the pairs are used for sides leaving 560 for diagonals-----How about a polygon with n sides.

The formula obtained by subtracting n using nC2 methods is. How many sides does a polygon have if the sum of the measures of its angles is 1440. N n 3 2.

Math Forum - Ask Dr. To put it another way an n-sided polygon has n-vertices that can be connected in nC2 ways. Nn-32 35 nn-3 70 which gives the quadratic n2-3n-70 0 Solving this gives n 10 and -7.

Number of diagonals in polygons of n sides n n-32. A square or any quadrilateral has 4432 412 2 diagonals. So a decagon has 35 diagonals.

So sum of all interior angles 803610 14410 1440 deg. N n 3 2. Thus the polygon has 10 sides.

Because we have to choose two points from n points. Total number of diagonals 90. What polygon has 35 diagonals.

Then nn-3235 or n2-3n-700 or n-10n70. Since triangle has no diagonals you start at quadrilateral which has 1 diagonal that do not intersect each other so 135-1134. Click to see full answer.

Of diagonals n n-32 35 n n-32 70 n² - 3n 0 n² - 3n - 70 0 n - 10 n 7 Since n is positive n is 10. Simply subtract the total sides from the diagonals given by each vertex to another vertex to arrive at this formula. Properties of all decagons One may also ask do all polygons have diagonals.

The number of diagonals of a regular triangle is 35. Correct option is C Number of diagonals in any n sided polygon is Total Number of Lines connected two points Total number of sides of polygon. If a polygon has 35 diagonals what is the name of the polygon.

However the adjacent angles of rhombus are supplementary which means that they add up to 180. Number of Diagonals. Here n n-32 35 or n n-3 70 So n 10.

N 10 or -7. Draw the six-sided polygon and see if it has 9 diagonls-----If all of this is correct try it on 35 sides.

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