Question

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

Explanation:

Step1: Analyze the angle relationship

Since the right - angle is \(90^{\circ}\), and the two angles \(8x^{\circ}\) and \(10^{\circ}\) form a right - angle.
So, \(8x + 10=90\).

Step2: Solve the equation \(8x + 10 = 90\)

Subtract \(10\) from both sides:
\(8x+10 - 10=90 - 10\)
\(8x=80\)
Divide both sides by \(8\):
\(x=\frac{80}{8}=10\)

Answer:

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