From one vertex of an n-sided polygon 5 different diagonals can be drawn which one of the following pairs of numbers are the number of sides (n) and the sum of measures of all interior angles of this polygon?

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01-07-2022
Mathematics

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From one vertex of an n-sided polygon 5 different diagonals can be drawn which one of the following pairs of numbers are the number of sides (n) and the sum of measures of all interior angles of this polygon?

Sagot :

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swapnalimalwadeVT swapnalimalwadeVT · Answer 1 · 2022-07-05T06:24:16-04:00

The number of diagonals drawn from the vertex of the polygon of n sides is (n−3).

The correct option is C)

⇒ A diagonal is a segment that connects two non-consecutive vertices in a polygon.

⇒ The number of diagonals in a polygon that can be drawn from any vertex in a polygon is three less than the number of sides.

What is the polygon?

A polygon is a plane figure enclosed by line segments called sides. Polygon is a 2d shape.

Regular polygons contain equal side lengths.

⇒ Let n be the number sides in the polygon.

⇒ So, the number of diagonals drawn from the vertex of the polygon of n sides is (n−3).

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Sagot :

What is the polygon?

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