Question

Can a triangle have all angles less than60°? Give reason for your answer.

Answer 1

We know that the sum of Angles of a triangle must be 180°


If all angle will be smaller than 60°,


Let Angles are x, y, z


$=> (x < 60) + (y < 60) + (z < 60) \\ \\ \\ => (x + y + z) < 180$


Here, sum of all angles is lesser than 180°




So, a triangle can't have all angles smaller than 60°