Math, asked by sanjukumar31334, 6 months ago

some of the angles of a triangle is 180 degree. solve it​

Answers

Answered by kirtipal1404
7

ANSWER

Given :A triangle ABC.

To prove :∠A+∠B+∠C=180

⟹∠1+∠2+∠3=180

Construction :Through A, draw a line l parallel to BC.

Proof :Since l∥BC. Therefore,

∠2=∠4 .......eq(i)

And, ∠3=∠5......eq(ii)

adding eq(i)and(ii)

Therefore, ∠2+∠3=∠4+∠5

∠1+∠2+∠3=∠1+∠4+∠5 [adding∠1bothSide]

∠1+∠2+∠3=180

Thus, the sum of three angles of a triangle is 180

.this proved....

i hope it's helps you

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