Math, asked by Mistakenkk, 1 year ago

prove that sum of all side of triangle is 180

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Answered by Akv2
0
Lets draw a triangle ABC
Extend AB to M , BC to N and AC to O.

Now,
A = 180-z
B = 180-x
C = 180-y

by Adding A,B & C
A+B+C = 180-z+180-x+180-y
= 540-(z+x+y)
= 540-(x+y+z)

We already know that adding all the exterior angles of any polygon always sums up to 360 degrees.

So,
= 540-360
= 180

Hence Proved.
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Answered by JaideepHarsha
1

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