Question

in the figure below, o || n. find the values of z and y.

Explanation:

Step1: Find the value of \( z \)

Since \( o\parallel n \), \( z = 71^{\circ} \) (corresponding angles are equal).

Step2: Find the value of \( y \)

\( z+(5y - 99)=180^{\circ} \) (linear - pair angles).
Substitute \( z = 71^{\circ} \) into the equation:
\( 71+(5y - 99)=180 \)
\( 5y-28 = 180 \)
\( 5y=180 + 28 \)
\( 5y=208 \)
\( y=\frac{208}{5}=41.6 \)

Answer:

\( z = 71^{\circ},y = 41.6 \)