
What is the sum of interior angles in a hexagon?
Answer
442.5k+ views
Hint: To obtain the sum of the interior angle we will use the general formula to find the sum of interior angles of polygon. Firstly we will find the number of sides of a hexagon then we will write the general formula to find the sum of interior angles of the polygon and substitute the value in it, Finally solve the obtained equation to get the desired answer.
Complete step-by-step answer:
The polygon given in the question is hexagon.
We know there are 6 sides of a Hexagon - polygon so:
The general formula to find the sum of interior angle of polygon is given as below:
Put in above formula for finding the sum of interior angle of a Hexagon and simplify it as follows:
So the value obtained is 720.
Hence the sum of the interior angle of a Hexagon is 720.
Note: A polygon is a plane figure that is made by a finite number of straight line segments which all are connected by a closed polygon chain. A polygon has edges and sides and two edges meet to form a vertex. The sum of interior angle of a polygon is because a -gon polygon is considered to be made up of two triangles and sum of interior angle of a triangle is . One of the properties of Hexagon is it can tile the plane. Each exterior angle of a Hexagon is and there are 9 diagonals in a Hexagon.
Complete step-by-step answer:
The polygon given in the question is hexagon.
We know there are 6 sides of a Hexagon - polygon so:
The general formula to find the sum of interior angle of polygon is given as below:
Put
So the value obtained is 720.
Hence the sum of the interior angle of a Hexagon is 720.
Note: A polygon is a plane figure that is made by a finite number of straight line segments which all are connected by a closed polygon chain. A polygon has edges and sides and two edges meet to form a vertex. The sum of interior angle of a polygon is
Latest Vedantu courses for you
Grade 8 | CBSE | SCHOOL | English
Vedantu 8 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹45,300 per year
Recently Updated Pages
Master Class 10 Computer Science: Engaging Questions & Answers for Success

Master Class 10 Maths: Engaging Questions & Answers for Success

Master Class 10 English: Engaging Questions & Answers for Success

Master Class 10 General Knowledge: Engaging Questions & Answers for Success

Master Class 10 Science: Engaging Questions & Answers for Success

Master Class 10 Social Science: Engaging Questions & Answers for Success

Trending doubts
What is the past participle of wear Is it worn or class 10 english CBSE

What is Whales collective noun class 10 english CBSE

What is potential and actual resources

For what value of k is 3 a zero of the polynomial class 10 maths CBSE

What is the full form of POSCO class 10 social science CBSE

Which three causes led to the subsistence crisis in class 10 social science CBSE
