Question

1) Prove that sum of all angles of a quadrilateral is 360°.​

Answer 1

Answer:

TAKE AN EXAMPLE OF Square/Rectangle..

Using the Property of square and rectangle

All angles are of 90°...

Take all the four angles as Angle1, angle2, angle3, angle4

We know that All angles are of 90° so all angles are equal to each other

Angle1=angle2=angle3=angle4=90°

90°+90°+90°+90°=360°

Hence the sum of all angles of a quadrilateral is 360°

Step-by-step explanation:

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Answer 2

Answer:

A quadrilateral is a polygon which has 4 vertices and 4 sides enclosing 4 angles and the sum of all the angles is 360°. When we draw a draw the diagonals to the quadrilateral, it forms two triangles. Both these triangles have an angle sum of 180°. Therefore, the total angle sum of the quadrilateral is 360°.