Question

parallel lines and transversals

1. looking at the image:

if you have two // lines cut by a transversal, then the linear pair of angles are...
congruent
≅
supplementary
+180°
all of the above
none of the above

Explanation:

A linear pair of angles is formed when two adjacent angles form a straight line. By the definition of a linear pair, the sum of the measures of the two angles in a linear pair is \(180^{\circ}\), which means they are supplementary. Congruent angles have equal measures. A linear pair of angles is not necessarily congruent (they are congruent only when each is \(90^{\circ}\)). Since they are not always congruent, “All of the above” is incorrect. And since they are supplementary, “None of the above” is also incorrect.

Answer:

Supplementary \(+ 180^{\circ}\)