State whether the following statement is always true, sometimes true, or never true:

Supplementary angles form a linear pair.

Question

State whether the following statement is always true, sometimes true, or never true:   

Supplementary angles form a linear pair.

primeralph · Answer

T

primeralph · Answer

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jim_thompson5910 · Answer

This is only sometimes true. The two supplementary angles have to be adjacent (ie touching) to be a linear pair.

primeralph · Answer

@jim_thompson5910  When you join them, it's always true.

primeralph · Answer

My diagram is generalized.

jim_thompson5910 · Answer

yes when they are adjacent, it's always true

but they never mentioned the word "adjacent"

anonymous · Answer

wait so linear pair of angles cant be complementary.

primeralph · Answer

hhmmm, now that you mention it, maybe the "sometimes" was placed there for a cogent reason.

jim_thompson5910 · Answer

yes they are supplementary katlyyyyn (not complementary)

anonymous · Answer

wait these are like the choices
A. Sometimes true because it is true when the angles share a common side.
B. Never true.
C. Always true because a linear pair of angles are supplementary by definition.
D. Sometimes true because a linear pair of angles cannot be complementary.

primeralph · Answer

A; as talked about.

jim_thompson5910 · Answer

when the angles share a common side, they are known to be adjacent angles

so I agree, it's definitely A