The given is 3 sides and 2 included angles
$⟹$ The angles are adjacent angles
Also their sum is ${75}^{\circ }+{105}^{\circ }={180}^{\circ }$
$⟹$ Given angles are supplementary.
Then the remaining two angles are also supplementary.  [$\because$ Sum of all the angles of a quadrilateral is ${360}^0$]
Hence, the quadrilateral is a trapezium as in a trapezium  adjacent angles are supplementary angles and since its given no sides are equal , it cannot be a parallelogram( opposite sides are equal) and square, rhombus( all sides are equal)