Question

statements p and q are given below. p = the angle is obtuse. q = the measure of an angle is 98°. which conditional statement is logically equivalent to the following statement? if the measure of an angle is 98°, then the angle is obtuse? ~q→~p p→q ~p→q ~p→~q

Explanation:

Step1: Recall logical equivalence

A conditional statement \(A
ightarrow B\) is logically equivalent to its contra - positive \(
eg B
ightarrow
eg A\).

Step2: Identify the original statement

The original statement is \(Q
ightarrow P\) where \(Q\) is "The measure of an angle is \(98^{\circ}\)" and \(P\) is "The angle is obtuse".

Step3: Find the contra - positive

The contra - positive of \(Q
ightarrow P\) is \(
eg P
ightarrow
eg Q\).

Answer:

\(
eg P
ightarrow
eg Q\)