Question

Which of the following statements is the converse of the statement "If each of two angles has a measure of 28 degrees, then the two angles are equal in measure"?

Answer 1

the converse would be

If the 2 angles are equal in measure the each of the 2 angles has a measure of 28 degrees.

AS you see in this example , the converse is not necessarily true.

Answer 2

If two angles are equal in measure then each of the two angles has a measure of 28 degrees.

Explanation:

The converse of a statement is found by switching the hypothesis and conclusion of a conditional statement.

The hypothesis is the part that comes after "if" and the conclusion is the part that comes after "then."

This means the hypothesis is "each of two angles has a measure of 28 degrees" and the conclusion is "the two angles are equal in measure."

This gives us the converse "If two angles are equal in measure then each of the two angles has a measure of 28 degrees."