Question

the figure below, ( n parallel j ). find the values of ( y ) and ( x ).

Explanation:

Step1: Find the value of \( y \)

Since \( n\parallel j \), \( y = 66 \) (corresponding angles are equal).

Step2: Find the value of \( x \)

\( 3x-36 + y=180 \) (linear pair). Substitute \( y = 66 \) into the equation:
\( 3x-36+66 = 180 \)
\( 3x + 30=180 \)
\( 3x=180 - 30 \)
\( 3x=150 \)
\( x=\frac{150}{3}=50 \)

Answer:

\( y = 66 \), \( x = 50 \)