Question

solve for x,
x =
submit

Explanation:

Step1: Use the property of alternate interior angles

Since \(FG\parallel HI\), the alternate interior angles \((7x + 5)^{\circ}\) and \((2x+35)^{\circ}\) are equal. So we have the equation \(7x + 5=2x + 35\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(7x-2x + 5=2x-2x + 35\), which simplifies to \(5x+5 = 35\).
Subtract \(5\) from both sides: \(5x+5 - 5=35 - 5\), getting \(5x=30\).
Divide both sides by \(5\): \(x=\frac{30}{5}\).

Answer:

\(6\)