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Question

I) can a triangle have all angles less than 60 degree explain.

II) can a triangle have all angles equal to 60 degree explain.

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Solution

according to the angle sum property of a triangle, all the interior angles of the triangle sholuld add up to 180 degrees. the minimum value of any angle of a triangle therefore is 60 degrees because 60 x 3 = 180.
for eg - if all angles are 59 degrees(all less than 60) then the sum of the interior angles of the triangle will be 177 which is not equal to 180. if the interior angles do not add up to 180 degrees, then a triangle cannot be made.
if you want to understand it better then try it out by taking all angles 50 or 40 degrees.

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