Question

Is the sum of any two angles of a triangle always greater than the third angle?

Answer 1

No, the sum of any two angles of a triangle is not always greater than the third angle.

For example:

In an isosceles right-angled triangle, the angle will be $90°,45°,45°$. Here, the sum of two angles $45°+45°=90°$ which is not greater than the third angle.

Hence, the sum of any two angles of a triangle is not always greater than the third angle.