Can a triangle have all angles less than 60°? Give reason for your answer.


We know, the sum of three angles of a triangle is equal to 180°.


According to the question, if all the angles of a triangle are less than 60°, then each of the angle would be at least 59°.


Sum of the angles = 59° + 59° + 59°


Sum of the angles = 177°


The sum of the three angles of the triangle is not equal to 180°.


Similarly, for any value of the angles less than 59°, the sum of the three angles won’t be equal to 180°.


Thus, it won’t be a triangle.


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