Question

question 5

• required

1. angles that are a linear pair are...

congruent
≅
supplementary
+180°
all of the above
none of the above

Explanation:

• Congruent: Linear - pair angles are not necessarily congruent. Congruent angles have equal measures. For example, a linear pair could be \(30^{\circ}\) and \(150^{\circ}\), which are not congruent.
• Supplementary (\(+ 180^{\circ}\)): By the definition of a linear pair, two adjacent angles form a linear pair if their non - common sides are opposite rays. The sum of the measures of angles in a linear pair is \(180^{\circ}\), so they are supplementary.
• All of the above: Since linear - pair angles are not always congruent (but are always supplementary), this option is incorrect.
• None of the above: Since linear - pair angles are supplementary, this option is incorrect.

Answer:

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