Question

look at the diagram.
which equation can be used to solve for x?
7x + 34 = 90
7x - 34 = 90
2x = 34
5x = 34
solve for x.
x =

Explanation:

Step1: Analyze the vertical angles

Vertical angles are equal. Here, the sum of \(2x\) and \(5x\) and the right - angle (\(90^{\circ}\)) and the given \(34^{\circ}\) angle are related. But if we consider the equation \(7x+34 = 90\) (because \(2x + 5x=7x\) and they form a linear - pair with the \(34^{\circ}\) angle adjacent to a right - angle, and the sum of angles on a straight line is \(180^{\circ}\), but actually, if we assume a wrong approach of considering non - related angles, but if we just solve the equation \(7x+34 = 90\) for \(x\))

Step2: Solve the equation \(7x+34 = 90\)

Subtract \(34\) from both sides of the equation:
\(7x+34 - 34=90 - 34\)
\(7x=56\)
Divide both sides by \(7\):
\(x=\frac{56}{7}\)

Answer:

\(x = 8\)