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You are watching: What is the measure of an exterior angle of a regular 7-sided polygon?

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A geometric figure which is formed by 7 straight lines by joining together but the lines should not cross each other, each of two lines meet at a point and form a vertex. So 7 sided polygon has 7 sides and 7 vertices 7 sided polygon is known as

**heptagon**.

**Types of polygon**: -·

**Equilateral polygon**is the geometric shapes which consists of all the same sides. For example rhombus is an equilateral polygon because all sides of rhombus are equal.·

**Equiangular polygon**is the figure when all angles are same. For example rectangle is an equiangular polygon because all angles of rectangle are equal to 90 degrees.·

**Regular polygon**are those figures whose all sides and angles are equal like equilateral triangle and square are the examples of regular polygon.

**Formula of regular polygon**· Sum of interior angle= 180 x (n – 2)· Each interior angle = 180 x (n – 2) / n· Sum of exterior angle = 360 degrees· Each exterior angle =360 / n· Number of diagonal = n x (n -3) / 2· Number of triangles = (n – 2)Where n= length of each side of a regular polygon.

**Question**: - Find the single exterior angle of a 7 sided polygon.

**Solution**: -Each exterior angel =360 / n = 360 / 7 = 51.43 degrees (approximately).

**Question 2**: - Find the number of diagonals of 7 sided polygon.

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**Solution**: - Number of diagonal = n x (n -3) / 2 = 7 x (7 – 3) / 2 = 7x4/2 = 7x2 = 14There are 14 diagonals in a 7 sided polygon.

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