Question

Use the conditional: If $m\angle 1=120$, then∠1 is obtuse.

Write the converse of the conditional.

Short answer

The converse of the conditional is if∠1 is obtuse then $m\angle 1=120$.

Step-by-step solution

Step 1. Description of step.

In the conditional statement, the hypothesis is the statement written after the word if.

In the conditional statement, the conclusion is the statement written after the word then.

The converse of the conditional can be find out by interchanging the hypothesis and the conclusion.

Step 2. Description of step.

It is being given that if$m\angle 1=120$, then∠1is obtuse.

Therefore it can be seen that the statement written after the word if is$m\angle 1=120$ and the statement written after the word then is∠1is obtuse.

Therefore, the hypothesis of the conditional statement is and the conclusion of the conditional statement is∠1is obtuse.

The conditional after interchanging the hypothesis and conclusion is if∠1is obtuse then $m\angle 1=120$.

Therefore, the converse is if ∠1 is obtuse then $m\angle 1=120$.

Step 3. Write the converse of the conditional.

The converse of the conditional is if ∠1 is obtuse then$m\angle 1=120$.