in triangle abc, if ab is the greatest side ,then prove that angle c >60degree

Hello student,
Please find the answer to your question below
in a triangle abc
AB>AC and AB>BC
According to inequality theorem angles opposite to equal sides are equal and angle opposite to longest side will be largest and vice versa.
henceangle C>angle B and angle C>angle A
since in a triangle sum of all angles=180degree
therefore largest angle will be more than 60degree
example=let angle B=angle A =59degree
so angle C=180-(59+59)
angle C=180-118
angle C=62degree
Hence proved

Approved