1. The problem states that the opposite angles of a parallelogram are given as $(2x - 3)^\circ$ and $(45 - x)^\circ$. We need to find the value of $x$. 2. Important property: Opposite angles in a parallelogram are equal. Therefore, we set the two expressions equal: $$2x - 3 = 45 - x$$ 3. Solve the equation: Add $x$ to both sides: $$2x + x - 3 = 45$$ $$3x - 3 = 45$$ Add 3 to both sides: $$3x = 48$$ Divide both sides by 3: $$x = 16$$ 4. So, the value of $x$ is 16. Final answer: $x = 16$