Question

2. Use the following statement to answer the questions. Statement: If two angles are supplementary, then the angles are a linear pair.

(a) Write the inverse of the statement. Is the inverse true or false? Explain your reasoning.
(b) Write the converse of the statement. Is the converse true or false? Explain your reasoning.
(c) Write the contrapositive of the statement. Is the contrapositive true or false? Explain your reasoning.

Answer 1

inverse is

- if two angles are not supplementary than the angles are not a linear pair. True because if they dont equal 180 they arent a linear pair

Converse is

- If two angles are a linear pair theyre supplementary

True because if theyre a linear pair they will always equal 180

Contrapositive is

- if two angles are not supplementary, they are not a linear pair

True because linear pairs always equal 180