Question

two parallel lines are crossed by a transversal. what is the value of y? 80° (diagram with lines a, b, c) options: y=40, y=80, y=100, y=120

Explanation:

Step1: Identify angle relationship

The 80° angle and \( y^\circ \) are same - side interior angles (or supplementary angles as lines are parallel). So \( 80 + y=180 \).

Step2: Solve for y

Subtract 80 from both sides: \( y = 180 - 80=100 \).

Answer:

\( y = 100 \) (corresponding to the option \( y = 100 \))