Question

Question 74

State whether the statement is True or False.

Sum of any two angles of a triangle is always greater than the third angle.

Answer 1

False
It is not necessary that sum of any two angles of a triangle is always greater than the third angle.

E.g. Let the angles of a triangle be ${20}^{\circ },{50}^{\circ }$ and ${110}^{\circ }$ respectively.
Hence, ${20}^{\circ }+{50}^{\circ }={70}^{\circ }$, which is less than ${110}^{\circ }$