Question

look at the diagram. which equation can be used to solve for x? 6x - 6 = 180; 6x - 6 = 90; 12x = 180; 12x = 90. solve for x.

Explanation:

Step1: Identify angle - sum relationship

The angles $(2x)^{\circ}$ and $(4x - 6)^{\circ}$ are complementary since they form a right - angle (90°). So, we set up the equation $2x+(4x - 6)=90$.

Step2: Simplify the left - hand side

Combine like terms: $2x+4x-6 = 90$, which simplifies to $6x-6 = 90$.

Step3: Solve for x

Add 6 to both sides of the equation: $6x-6 + 6=90 + 6$, so $6x=96$. Then divide both sides by 6: $x=\frac{96}{6}=16$.

Answer:

$x = 16$