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look at the diagram. which equation can be used to solve for x? 2x - 14…

Question

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

Explanation:

Step1: Set up the equation

Since the two angles \((x - 14)^{\circ}\) add up to \(90^{\circ}\) (right - angle), the equation is \(2(x - 14)=90\).

Step2: Solve the equation

First, divide both sides of the equation \(2(x - 14)=90\) by \(2\):
\(x-14=\frac{90}{2}\)
\(x - 14 = 45\)
Then, add \(14\) to both sides:
\(x=45 + 14\)

Answer:

\(x = 59\)