Dear Chesna,
Please find below the solution to the asked query:We know " The sum of lengths of any two Sides is greater than the length of the third side. "--- {
Applicable for all or you can say, in any kind of triangle}But the sum of any angles of a triangle also greater than the third angle is not true .
As we can have our triangle , As :
Here
∠ B + ∠ C < ∠ A
=>30 degrees + 30 degrees < 120 degrees..
To verify that
sum of any 2 angles of a triangle is
not always greater the third angle you can take a right angled triangle, or any obtuse - angled triangle..
Thus, Answer: No,, because this can't be true always that sum of any 2 angles of a triangle is always greater the third angle..Hope this information will clear your doubts about The Triangle and its Properties .
Regards!