Question

if ( ell_1 parallel ell_2 ), find ( p + q ).

Explanation:

Step1: Find the value of \( q \)

Since \( l_1\parallel l_2 \), \( q = 107^{\circ} \) (corresponding angles are equal).

Step2: Find the value of \( p \)

\( p+q = 180^{\circ} \) (consecutive interior angles are supplementary). Substitute \( q = 107^{\circ} \), then \( p=180 - 107=73^{\circ} \).

Step3: Calculate \( p + q \)

\( p + q=73^{\circ}+107^{\circ} \)

Answer:

\( 180^{\circ} \)