Question

Please help I cannot figure this out for the life of me

Which statement is always true?

a) Linear pairs are adjacent and supplementary
b) Vertical angles are equal and supplementary
c) Adjacent angles are linear pairs or are complementary
d) Adjacent angles are supplementary or complementary

Answer 1

`b) Vertical angles are equal and supplementary `
half of this is true. They are equal, but they aren't always supplementary

Answer 2

`c) Adjacent angles are linear pairs or are complementary`

False. Adjacent angles are simply angles that share a common segment or ray.

Answer 3

`d) Adjacent angles are supplementary or complementary`

False. The reasoning is similar to C)

Answer 4

`a) Linear pairs are adjacent and supplementary`

this is true by the definition of what "linear pair" means
they are touching each other and they add to a straight angle

Answer 5

http://hotmath.com/hotmath_help/topics/linear-pair.html

Answer 6

Thank you!