Question

look at the diagram. which equation can be used to solve for x? solve for x. x =

Explanation:

Step1: Analyze the angle relationship

The two angles \((2x)^{\circ}\) and \((x + 6)^{\circ}\) are complementary (they form a right - angle, so their sum is \(90^{\circ}\)).
The equation is \(2x+(x + 6)=90\).
Simplify the left - hand side: \(2x+x+6=90\), which is \(3x + 6=90\).

Step2: Solve the equation for \(x\)

Subtract \(6\) from both sides of the equation \(3x+6 = 90\):
\(3x+6-6=90 - 6\), so \(3x=84\).
Divide both sides by \(3\): \(x=\frac{84}{3}\).

Answer:

\(x = 28\)