Question

Two of the statements are true; one is a lie.

Select the one that is a lie.
Then explain your reasoning.

The measure of ∠CAF is 25 degrees.
∠DAE ≌ ∠FAB.
∠BAF and ∠EAB are complementary.

Answer 1

The statement "
`\angle BAF` and
`\angle EAB` are complimentary" is false.

Explanation:

Complimentary angles are defined by angles that add up to
`90^(\circ)`. Angles BAF and EAB represent one side of a line, which is
`180^(\circ)`. Therefore, they are actually supplementary and not complimentary. Thus, the statement "
`\angle BAF` and
`\angle EAB` are complimentary" is false.