Answer:
See answers below
Step-by-step explanation:
Problem 1)
Conditional: If two angles are supplementary, then their sum is 180 degrees
Truth value: True
Converse: If the sum of two angles is 180 degrees then the two angles are supplementary.
Truth value: True
Problem 2)
Conditional: If [tex]x^2=36[/tex] then [tex]x=6[/tex]
Truth value: False
Converse: If [tex]x=6[/tex] then [tex]x^2=36[/tex]
Truth value: True
For the False, notice that having [tex]x^2=36[/tex], doesn't necessarily imply that [tex]x=6[/tex], since [tex]x=-6[/tex] would also render 36 when squared.