Question

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

Explanation:

Step1: Find the value of \( y \)

Since \( r\parallel j \), \( y \) and \( 60^{\circ} \) are corresponding angles.
So \( y = 60 \)

Step2: Find the value of \( x \)

\( (3x - 36)^{\circ} \) and \( y^{\circ} \) are supplementary angles (linear pair).
Since \( y = 60 \), we have \( 3x-36+60 = 180 \)
\( 3x+24 = 180 \)
Subtract 24 from both sides: \( 3x=180 - 24 \)
\( 3x = 156 \)
Divide both sides by 3: \( x=\frac{156}{3}=52 \)

Answer:

\( y = 60 \)
\( x = 52 \)