Question

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

Explanation:

Step1: Identify angle - relationship

Assume lines EF and GH are parallel. Then, angle (7x - 4)° and the 73° angle are corresponding angles (or alternate - exterior angles etc., depending on parallel - line properties), 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