Question

look at the diagram. which equation can be used to solve for x? 18x = 90 18x = 180 8x + 10 = 180 8x + 10 = 90 solve for x. x =

Explanation:

Step1: Identify angle - sum relationship

The two non - overlapping angles \(10^{\circ}\) and \((8x)^{\circ}\) form a right - angle which is \(90^{\circ}\). So the equation is \(8x + 10=90\).

Step2: Solve the equation for \(x\)

Subtract 10 from both sides of the equation \(8x + 10=90\):
\(8x=90 - 10\), so \(8x = 80\).
Then divide both sides by 8: \(x=\frac{80}{8}=10\).

Answer:

The equation is \(8x + 10 = 90\), \(x = 10\)