Question

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

Explanation:

Step1: Identify angle - sum relationship

The two angles of measure \((x - 14)^{\circ}\) together form a right - angle (90°).

Step2: Set up the equation

The sum of the two \((x - 14)^{\circ}\) angles is 90°, so \(2(x - 14)=90\).

Step3: Solve the equation for \(x\)

First, expand the left - hand side: \(2x-28 = 90\). Then add 28 to both sides: \(2x=90 + 28=118\). Divide both sides by 2: \(x = 59\).

Answer:

The equation is \(2(x - 14)=90\), \(x = 59\)