Question

PLEASE I REALLY NEED HELP WITH THIS!

use the statements to write a conditional statement and it’s converse. Then write the truth value of both statements.
1. P: two angles are supplementary
Q: they sum to 180 degree
Conditional:
Truth value:
Converse:
Truth value:

2. Write the following biconditional as a conditional and it’s converse. Then determine whether the true value.
X^2=36 if and only if x=6
Conditional:
Truth value:
Converse:
Truth value:

Answer 1

See answers below

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
`x^2=36` then
`x=6`

Truth value: False

Converse: If
`x=6` then
`x^2=36`

Truth value: True

For the False, notice that having
`x^2=36`, doesn't necessarily imply that
`x=6`, since
`x=-6` would also render 36 when squared.