Math, asked by mukesh2004, 1 year ago

verify experimentally that sum of all interior angles of a quadrilateral is 360 degree

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Answered by kuldeep5072
13
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Answered by amitnrw
6

Given : A Quadrilateral

To Find : Verify experimentally that the sum of the angles of a quadrilateral is 360°​

Solution:

Draw a rectangle ABCD

Measure Angle A using protractor

Measure Angle B using protractor

Measure Angle C using protractor

Measure Angle D using protractor

Add all angles  

m∠A + m∠B + m∠C + m∠D = 360°  ( verified)

114.6° + 53.6° + 52.5° + 139.3° = 360°

To Verify without measuring angles

Make cut out of angles A , B , C & D using tracing paper

Arrange 4 angles at center point

will form a completer circle  

complete circle is 360°

Hence verified

Repeat this process with different Quadrilateral

Square / rectangle  (90° + 90° + 90° + 90° = 360°) .

Learn More:

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Can u draw the quadrilateral ABCD by constructing triangle ABD first ...

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