Question

solve for y.
(there is a diagram with lines r, s (parallel), and transversal q. angle between r and q is 116°, angle between s and q is 15y - 4)

Explanation:

Step1: Identify parallel lines and angles

Lines \( r \) and \( s \) are parallel, and the transversal \( q \) creates corresponding angles. So \( 15y - 4 = 116^\circ \).

Step2: Solve for \( y \)

Add 4 to both sides: \( 15y = 116 + 4 = 120 \).
Divide by 15: \( y = \frac{120}{15} = 8 \).

Answer:

\( y = 8 \)