Question

megan is making a wood model of each letter of the alphabet. she drew a sketch of the letter n. the vertical sides of the n are parallel. what is the value of x? (2x)° 24°

Explanation:

Step1: Use alternate - interior angles property

Since the vertical sides of the letter N are parallel, the angles \((2x)^{\circ}\) and \(24^{\circ}\) are alternate - interior angles. Alternate - interior angles are equal when two parallel lines are cut by a transversal. So, \(2x = 24\).

Step2: Solve for \(x\)

Divide both sides of the equation \(2x = 24\) by 2. We get \(x=\frac{24}{2}\).

Answer:

\(x = 12\)