given: ∠1 and ∠2 are supplementary.
prove: ℓ ∥ m

what is the missing piece of information in the paragraph proof?

proof: it is given that ∠1 and ∠2 are supplementary. ∠1 and ∠3 are also supplementary, so ∠2 ≅ ∠3. since are corresponding angles, ℓ ∥ m.

∠2 and ∠3

∠2 and ∠1

∠1 and ∠3

∠1 and ∠2

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

What’s the answer ? use the picture to see the problem

The tile along the edge of a triangular community pool needs to be replaced? ?