Question

look at the diagram. which equation can be used to solve for x? 3x + 36 = 180 39x = 90 3x + 36 = 90 39x = 180 solve for x.

Explanation:

Step1: Identify angle - relationship

The two angles $(3x)^{\circ}$ and $36^{\circ}$ are complementary (since the right - angle symbol is shown, and their sum equals $90^{\circ}$).

Step2: Set up the equation

The equation based on the complementary - angle relationship is $3x + 36=90$.

Step3: Solve for x

Subtract 36 from both sides of the equation: $3x=90 - 36$, so $3x = 54$. Then divide both sides by 3: $x=\frac{54}{3}=18$.

Answer:

The equation is $3x + 36 = 90$ and $x = 18$.