Question

in the figure below, ( m parallel o ). find the values of ( x ) and ( z ).

Explanation:

Step1: Find the value of \( x \)

Since \( m\parallel o \), \( x = 85 \) (corresponding angles are equal).

Step2: Find the value of \( z \)

We know that \( x+(5z - 80)=180 \) (linear - pair of angles).
Substitute \( x = 85 \) into the equation:
\( 85+(5z - 80)=180 \)
\( 5z+5 = 180 \)
\( 5z=180 - 5 \)
\( 5z=175 \)
\( z=\frac{175}{5}=35 \)

Answer:

\( x = 85 \)
\( z = 35 \)