Question

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

Explanation:

Step1: Analyze the angle relationship

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

Step2: Solve the equation for \(x\)

Subtract \(36\) from both sides of the equation \(3x + 36=90\):
\(3x+36 - 36=90 - 36\)
\(3x=54\)
Divide both sides by \(3\):
\(x = \frac{54}{3}=18\)

Answer:

The equation is \(3x + 36 = 90\) and \(x = 18\)