Verify experimentally that the sum of the angles of a quadrilateral is 360°
Answers
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°) .
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