Question

In the given figure bc of triangle is produced both the directio .prove that sum of the two interior angle so formed greater than 180.

Answer 1

Step-by-step explanation:

If we extend BC on both ends, then the angles would be,  

∠ACD=180−C

∠ABF=180−B

Sum of the 2 exterior angles=∠ACD+∠ABF

=(180−C)+(180−B)

=360−(B+C)

=360−(180−A)=180+A

∠A is always positive.

∴ sum of the angles is greater than 180°.