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How many sides are there in a polygon with 65 diagonals?

How many sides are there in a polygon with 65 diagonals?

Therefore polygon of 13 sides have 65 diagonals.

How many sides does a regular polygon have if each of its interior angle is 65 165?

Thus, the regular polygon has 24 sides.

How many sides does a regular polygon have if each of its interior angles is 65?

Therefore, the number of sides of the regular polygon is 24.

How many sides are there in a polygon with 50 diagonals?

Hence the polygon has 13 sides. It has no integral roots, so there is no polygon with 50 diagonals.

How many sides does a regular polygon have if the measure of each interior angle is 150e?

2 Answers By Expert Tutors Since an interior angle is 150 degrees, its adjacent exterior angle is 30 degrees. Exterior angles of any polygon always add up to 360 degrees. With the polygon being regular, we can just divide 360 by 30 to get 12 sides.

What polygon has 152 diagonals?

A polygon with 19 sides, for example, has 152 diagonals.

How many sides does a regular polygon have if each interior angle measures 60 {\ circ ∘?

3
Summary: The number of sides of a regular polygon if one interior angle is 60 degrees is 3 and it is an equilateral triangle.

How many sides does a regular polygon have whose interior and exterior angle are in the ratio 2 1?

As, the sum of interior angles of any polygon is calculated by (n−2)×180∘ and sum of the exterior angle is equal to 360∘ . Therefore, there are 12 sides in the given polygon. So, the correct answer is “12”.

How do you find the amount of diagonals in a polygon?

Number of Diagonals = n(n-3)/2 In other words, an n-sided polygon has n-vertices which can be joined with each other in nC2 ways. Now by subtracting n with nC2 ways, the formula obtained is n(n-3)/2. For example, in a hexagon, the total sides are 6. So, the total diagonals will be 6(6-3)/2 = 9.

What is a polygon with 4 sides?

Definition: A quadrilateral is a polygon with 4 sides. A diagonal of a quadrilat- eral is a line segment whose end-points are opposite vertices of the quadrilateral. In picture below, ABCD is a quadrilateral, AC, BD are the two diagonals.

How many sides does a regular polygon have if each interior angle measures 60?

How can the size of each interior angle of a regular polygon be determined if the number of sides is known?

In order to find the measure of a single interior angle of a regular polygon (a polygon with sides of equal length and angles of equal measure) with n sides, we calculate the sum interior anglesor (n−2)⋅180 and then divide that sum by the number of sides or n.