Question

pine street intersects center street at a 65° angle. if center street is parallel to first avenue, which equation is true?

x = 180° - 65°
x = 90° - 65°
x = 65°
x = 90° + 65°

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines (Center Street and First Avenue) are cut by a transversal (Pine Street), the sum of the interior angles on the same side of the transversal is \(180^{\circ}\).
Let the given angle be \(65^{\circ}\) and the unknown angle be \(x^{\circ}\). So, \(x + 65=180\).

Step2: Solve for \(x\)

Subtract \(65^{\circ}\) from both sides of the equation \(x + 65=180\).
We get \(x=180 - 65\).

Answer:

\(x = 180^{\circ}-65^{\circ}\)