We want to find the value of x for which the given figure is a rhombus.
For a rhombus the angles on each side of a diagonal are congruent.
(5x-30)^(∘) ≅ (3x+6)^(∘)
By the definition of congruent angles, we know that their measures are equal.
(5x-30)^(∘) = (3x+6)^(∘)
Let's solve this equation for x.
