Question

1. if ( mangle1 = 50^{circ} ) and ( mangle2 = 130^{circ} ) are consecutive interior angles, are the lines parallel?

yes, they are supplementary
no, they are not equal
no, insufficient information
yes, both are congruent

Explanation:

Step1: Recall the property of consecutive interior angles

If two lines are parallel, then consecutive interior angles are supplementary (sum to \(180^{\circ}\)).

Step2: Calculate the sum of \(\angle1\) and \(\angle2\)

\(m\angle1 + m\angle2=50^{\circ}+ 130^{\circ}=180^{\circ}\)

Answer:

Yes, they are supplementary