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Prove that sum of angles of triangles is 180°

Posted by Harsh Giri 4 years, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Sakshi Pandey 4 years, 7 months ago

Given : let ABC is a triangle . Angle A = 1 angle B = 2 angle C=3 To prove : Angle 1 + anlge 2 + angle 3 = 180 Construction : draw a line EF through point A , anlge EAB = 4 , angle FAC = 5 Proof : angle 4 + angle 1 + angle 5 = 180 ( linear pair) ........1 Angle 4 = angle 3 (alternate angle) Similarly, angle 5 = angle 2 From equation ..........1 Angle 4 + angle 1+ angle 5 =180 Angle 3+ angle 1+ angle 2 = 180 (since angle 4= angle 3 , and angle 5 = angle 2 ) So, angle 1+ angle 2+ anlge 3= 180 Hence, proved............ Thanks you , I hope you can understand ...........

1Thank You

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CBSE > Class 09 > Mathematics