Question

Can a triangle have all angles less than ${60}^0$?
If True enter 1, if False enter 0

Answer 1

Let all the angles of the triangle be less than ${60}^{\circ }$
Now, sum of angles = $3\times (<60)$
Sum of angles $<180$
A triangle cannot have sum of its angles less than 180, hence a triangle cannot be formed with all the angles less than ${60}^{\circ }$