Final answer:
The statement ~Q→~P can be rewritten as P→Q, which means if ∠B is congruent to ∠C, then m∠B = m∠C.
Step-by-step explanation:
The given statement is ~Q→~P.
P: m∠B = m∠C
Q: ∠B is congruent to ∠C
To determine the truth value of the statement ~Q→~P, we can use the contrapositive rule in logic.
- The contrapositive of a conditional statement ~Q→~P is P→Q.
- We can rewrite P and Q as:
- P: ∠B is congruent to ∠C
- Q: m∠B = m∠C
Therefore, the contrapositive of ~Q→~P is P→Q, which means if ∠B is congruent to ∠C, then m∠B = m∠C.
In conclusion, the statement ~Q→~P can be rewritten as P→Q, which means if ∠B is congruent to ∠C, then m∠B = m∠C.