Math, asked by Sweetyhoty, 1 year ago

how can we say that angles of a triangle are 180 without giving any measurement and that should not be a equilateral triangle


sweety70: no...i think we had a proof to show that sum of all angles are 180 in a triangle without mentioning it as a equilateral triangle
mysticd: post one more question, proof the theorem sum of three angles in a triangle is 180degree or two right angles
sweety70: yeah.......sure....

Answers

Answered by RKR007
1
By angle sum property we can say that sum of the angles of a triangle are 180°.
If it is an equilateral triangle then all its sides are equal and alk angles are 60°.

Sweetyhoty: then
sweety70: at a we shall get 3 angles and their sum will be equal to 180
sweety70: mark 1 angle as 1 then 2 and 3
sweety70: these angles are at point a
Sweetyhoty: ok
sweety70: so..in the figure angle 1 is equal to angle b and angle 3 is equal to angle c since alternate interior angles
sweety70: substituting b and c in place of 1 and 3 we get angle b +2 +c =180 and angle 2 is nothing but angle a so we get a+b+c=180
sweety70: did u get it...??
Sweetyhoty: yes. thank you so much for explaining me
sweety70: u r wlcm
Answered by mysticd
1
Theorem:
In any triangle sum of the three angles are 180 .
if sum of three angles not equals to 180, triangle is not formed

not only equilateral triangle , for any triangle the rule is same
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