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CBSE Class 9 Answered

The side BC of ABC is produced on both sides. Prove that the sum of the two exterior angles so formed is greater than A by 180o.
Asked by Topperlearning User | 11 Aug, 2017, 09:11: AM
answered-by-expert Expert Answer

Given: Side BC of ABC is produced on both sides.

To prove: ext B + ext C > A

Proof:

ext B + ext C = 180o -B + 180o - C

= 360o - (B + C)

= 360o - (180o - A)

= 180o + A

Hence, ext B + ext C > A.

Answered by | 11 Aug, 2017, 11:11: AM
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