Question

1. find the value of x so that lines s and t are parallel. (7x - 20)° (4x + 16)°

Explanation:

Step1: Use corresponding - angles property

When lines s and t are parallel, the corresponding angles are equal. So, we set up the equation \(7x - 20=4x + 16\).

Step2: Isolate the variable x

Subtract \(4x\) from both sides of the equation: \(7x-4x - 20=4x-4x + 16\), which simplifies to \(3x-20 = 16\).

Step3: Solve for x

Add 20 to both sides: \(3x-20 + 20=16 + 20\), getting \(3x=36\). Then divide both sides by 3: \(x=\frac{36}{3}=12\).

Answer:

\(x = 12\)