Question

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

Explanation:

Step1: Analyze the angle relationship

The two angles \(3x\) and \(36^{\circ}\) are complementary (they form a right - angle, which is \(90^{\circ}\)). So the equation is \(3x + 36=90\).

Step2: Solve the equation for \(x\)

Subtract \(36\) from both sides of the equation:
\(3x+36 - 36=90 - 36\)
\(3x = 54\)
Divide both sides by \(3\):
\(x=\frac{54}{3}\)

Answer:

\(x = 18\)