Question

two parallel lines are crossed by a transversal. what is the value of y? 80° y° a c b 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 \( y = 100 \))