Question

look at the diagram. which equation can be used to solve for x? 2x - 14 = 90, 2(x - 14) = 90, 2x - 14 = 180, 2(x - 14) = 180

Explanation:

Step1: Identify the angle - relationship

The two angles \((x - 14)^{\circ}\) are congruent and together they form a right - angle (90 degrees). So the equation is \(2(x - 14)=90\).

Step2: Solve the equation for \(x\)

First, distribute the 2: \(2x-28 = 90\). Then add 28 to both sides: \(2x=90 + 28=118\). Finally, divide both sides by 2: \(x = 59\).

Answer:

The equation that can be used to solve for \(x\) is \(2(x - 14)=90\), and \(x = 59\).