Question

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

Explanation:

Step1: Analyze angle - sum relationship

From the diagram, we know that the sum of the \(10^{\circ}\) angle and the \((8x)^{\circ}\) angle is a right - angle (\(90^{\circ}\)). So the equation is \(8x + 10=90\).

Step2: Solve the equation for \(x\)

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

Answer:

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