Name: Sum of Exterior Angles of a Polygon
Uploaded: 2019-07-19
Duration: 5 min 7 s
Description: Everyone talks about the interior angles of a polygon, but what about the external ones? In this video, you will learn about the sum of exterior angles of a...

Question

Complete the given table with the help of example given:

Serial no	Name of Polygons	No of sides of a polygon	No of triangles obtained in a polygon	Sum of th internal angles of polygon $=$ No of triangles $\times 180 °$	Sum of internal angles
$1 .$	Quadrilateral	$04$	$02$ or $(4 - 2)$	$2 \times 180 °$	$360 °$
$2 .$	Hexagon

Accepted Answer

With the help of example given we have to complete the given table.

Serial no Name of Polygons No of sides of a polygon No of triangles obtained in a polygon Sum of th internal angles of polygon $=$ No of triangles $\times 180 °$ Sum of internal angles

$1 .$ Quadrilateral $04$ $02$ or $(4 - 2)$ $2 \times 180 °$ $360 °$

$2 .$ Hexagon

From the given figure of hexagon, we can find all the required values.

Number of sides of the polygon $= 6$

By joining any one of the vertex with all the possible other corners of the polygon, we got $4$ triangles.

So, number of triangles obtained in the polygon $= 4$ or $(6 - 2)$

Sum of the internal angles of polygon $=$ No of triangles $\times 180 °$

Sum of the internal angles of polygon $= 4 \times 180 °$

Sum of internal angles $=$ Sum of the internal angles of polygon $= 4 \times 180 ° = 720 °$

Serial no Name of Polygons No of sides of a polygon No of triangles obtained in a polygon Sum of th internal angles of polygon $=$ No of triangles $\times 180 °$ Sum of internal angles

$1 .$ Quadrilateral $04$ $02$ or $(4 - 2)$ $2 \times 180 °$ $360 °$

$2 .$ Hexagon $06$ $04$ or $(6 - 2)$ $4 \times 180 °$ $720 °$

Chhattisgarh Board Solutions for Chapter: Polygon, Exercise 4: Activity 4

Chhattisgarh Board Mathematics Solutions for Exercise - Chhattisgarh Board Solutions for Chapter: Polygon, Exercise 4: Activity 4

Questions from Chhattisgarh Board Solutions for Chapter: Polygon, Exercise 4: Activity 4 with Hints & Solutions

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