Question

question 1 - 11
a conditional statement was used to create the following biconditional statement.
two angles are supplementary if and only if they add up to 180°.
which statement below could be the inverse of the original conditional statement?
all supplementary angles add up to 180°
if two angles are supplementary, then they add up to 180°
if two angles add up to 180°, then they are supplementary
if two angles are not supplementary, then they do not add up to 180°

Explanation:

Para encontrar la inversa de una declaración condicional "Si p, entonces q", se niega tanto la hipótesis (p) como la conclusión (q). La declaración condicional original implicita en la bicondicional "Dos ángulos son suplementarios si y solo si suman 180°" es "Si dos ángulos son suplementarios, entonces suman 180°". Niegando ambas partes, obtenemos "Si dos ángulos no son suplementarios, entonces no suman 180°".

Answer:

D. Si dos ángulos no son suplementarios, entonces no suman 180°