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.

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Solution

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 $110^{\circ}$

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