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QUESTION IMAGE

solve for x: e (7x - 4)° i f g j h 73° d x =

Question

solve for x: e (7x - 4)° i f g j h 73° d x =

Explanation:

Step1: Identify angle - relationship

Assume lines EF and GH are parallel, then angle (7x - 4)° and 73° are corresponding angles (or alternate - interior/alternate - exterior angles depending on the parallel - line relationship), and they are equal. So we set up the equation 7x−4 = 73.

Step2: Solve the equation for x

Add 4 to both sides of the equation: 7x−4 + 4=73 + 4, which simplifies to 7x=77.

Step3: Isolate x

Divide both sides of the equation 7x = 77 by 7: $\frac{7x}{7}=\frac{77}{7}$, so x = 11.

Answer:

11