Question

a pair of parallel lines is cut by a transversal.
if ( mangle a=(4x - 2)^{circ} ) and ( mangle b=(6x - 20)^{circ} ), what is the value of ( x )?
34
20.2
11.2
9

Explanation:

Step1: Use the property of alternate interior angles

When a pair of parallel lines is cut by a transversal, alternate interior angles are equal. So \(m\angle A=m\angle B\).
$$4x - 2=6x - 20$$

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides:
$$- 2=2x - 20$$
Add \(20\) to both sides:
$$18 = 2x$$
Divide both sides by \(2\):
$$x = 9$$

Answer:

\(9\)