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"?
If two angles have equal measures, then the measure of each is 28 degrees
If each of two angles does not have a measure of 28 degrees, then the two angles have equal measures.
If each of two angles does not have a measure of 28 degrees, then the two angles do not have equal measures.
If two angles do not have equal measures, then each of the two angles does not have a measure of 28 degrees.

Answer 1

The converse of the given geometric statement is 'If two angles are equal in measure, then the measure of each is 28 degrees'.

Step-by-step explanation:

The process of creating the converse of a conditional statement involves interchanging the hypothesis and conclusion. In the given statement, "If each of two angles has a measure of 28 degrees, then the two angles are equal in measure," its converse becomes "If two angles are equal in measure, then the measure of each is 28 degrees."

This transformation emphasizes the bidirectional nature of the original statement, illustrating that the equality of angles in measure implies a specific angle measurement, exemplifying how the converse statement maintains the logical relationship inherent in the initial conditional statement.

Answer 2

Step-by-step explanation:

The converse is when u switch the hypothesis and the conclusion.

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

the converse of this is : if two angles are equal in measure, then the measure of each is 28 degrees.