consider a hanging sphere that is hanging through two strings attached to a rigid support. the mass of thesolid sphere is 7.5 kg while the tension in each diagonal string is 95 N. find the inclination angle

Answer 1

The correct expression is "hanging by", not "hanging through".

You have not said if the two strings have the same inclination angle. Since the two tensions are equal, the inclination angles must be equal, to have equilibrium in the horizontal direction.

If A is the inclination angle of each string to vertical, and T is the tension in each, then vertical equilibrium tells you that
2 T cos A = M g
cos A = 0.3868
A = 67.2 degrees

Answer 2

Thank you so much! :)