Question

Please answer this question​

Answer 1

`\bold{\huge{\underline{ Solution }}}`

Before answering the given question, you should know the difference between polygon and regular polygon.

• Polygon :- It is closed figure constitute of straight line having different measurements and also having varies angles.
• Regular polygon :- It is also a closed figure constitute of straight lines which having equal measuresment and all the angles of the given polygon are equal .

There are different types of polygon based on the sides :-

• A polygon having 3 sided called triangle ,having 4 sides called quadrilateral ,having 5 sides pentagon and so on.

Let's Begin :-

I have thought to make a 4 side polygon that is quadrilateral.

Steps of construction :-

• Step - 1 :- Draw a 5 cm line AB horizontally
• Step - 2 :- Then , From a point B, Draw a Vertical line of 5 cm and named it BC
• Step - 3 :- Then, From a point C, Draw a horizontal line of 5 cm and named it CD
• Step - 4 :- Now, join the line AD
• Step - 5 :- Measure all the angles form by the 4 sides of the quadrilateral.

Result :- All the angles are equal that is 90° each.

Conclusion :- The above figure is square as it is having equal sides and angles.

Now, we have to find the sum of the angles of the polygon :-

Here,

• All angles are equal in measure 90°

Therefore,

The sum of the angles of the given polygon

`\sf{ = 90{\degree} + 90{\degree} + 90{\degree} + 90{\degree} }`

`\sf{ = 180{\degree} + 90{\degree} + 90{\degree} }`

`\sf{ = 270{\degree} + 90{\degree} }`

`\sf{ = 360{\degree} }`

Hence, The sum of the angles of the above polygon is 360° .