Question
All the angles of a triangle can be less than $60^\circ .$

Answer

 According to the angle sum property of the triangle In $\triangle\text{ABC}$ $\angle\text{A}+\angle\text{B}+\angle\text{C}=180^\circ$
Now, If all the three angles of a triangle is less than $60^\circ $
Then, $\angle\text{A}+\angle\text{B}+\angle\text{C}<180^\circ$

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