Question

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

Explanation:

Step1: Identify angle - relationship

The two angles \(10^{\circ}\) and \((8x)^{\circ}\) are complementary as they form a right - angle (90 degrees).

Step2: Set up the equation

The sum of complementary angles is 90 degrees. So, \(8x + 10=90\).

Step3: Solve the equation for \(x\)

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

Answer:

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