Question

1. what is the value of y for which a || b?
2. choose your answer here

a. 155
b. 115
c. 65
d. 25

Explanation:

Step1: Use the property of parallel lines

When \(a\parallel b\), \(y^{\circ}\) and \(65^{\circ}\) are supplementary angles (consecutive interior angles).

Step2: Set up the equation

The sum of supplementary angles is \(180^{\circ}\), so \(y + 65=180\).

Step3: Solve for \(y\)

Subtract \(65\) from both sides of the equation: \(y=180 - 65\).

Answer:

\(y = 115\), so the answer is B.