Q. 214.1( 10 Votes )

In a convex hexagon, prove that the sum of all interior angle is equal to twice the sum of its exterior angles formed by producing the sides in the same order.

Answer :

The sum of interior angles of a polygon = (n – 2) × 180°


The sum of interior angles of a hexagon = (6 – 2) × 180° = 4 × 180° = 720°


The Sum of exterior angle of a plygon is 360°


Therefoe sum of interior angles of a hexagon = twice the sum of interior angles.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Smart Revision | Let's Revise Properties of PolygonSmart Revision | Let's Revise Properties of PolygonSmart Revision | Let's Revise Properties of Polygon32 mins
Smart Revision | Let's Classify Quadrilaterals and Find their PropertiesSmart Revision | Let's Classify Quadrilaterals and Find their PropertiesSmart Revision | Let's Classify Quadrilaterals and Find their Properties34 mins
NCERT I Quiz on Understanding QuadrilateralsNCERT I Quiz on Understanding QuadrilateralsNCERT I Quiz on Understanding Quadrilaterals54 mins
Genius Quiz | Understanding QuadrilateralsGenius Quiz | Understanding QuadrilateralsGenius Quiz | Understanding Quadrilaterals20 mins
Quiz | Polygon & their PropertiesQuiz | Polygon & their PropertiesQuiz | Polygon & their Properties46 mins
Members of QuadrilateralsMembers of QuadrilateralsMembers of Quadrilaterals65 mins
Smart Revision | All Types of Quadrilaterals and Their PropertiesSmart Revision | All Types of Quadrilaterals and Their PropertiesSmart Revision | All Types of Quadrilaterals and Their Properties35 mins
RD Sharma | Understanding Shapes (Polygons) Part 1RD Sharma | Understanding Shapes (Polygons) Part 1RD Sharma | Understanding Shapes (Polygons) Part 142 mins
QuadrilateralsQuadrilateralsQuadrilaterals32 mins
Quiz | Visualising Solid ShapesQuiz | Visualising Solid ShapesQuiz | Visualising Solid Shapes36 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses