if the measure of two pairs of supplementary angles are added together, then the sum will equal 360 degree.
true or false?
then write the converse and is it true or false?
The statement "if the measure of two pairs of supplementary angles are added together, then the sum will equal 360 degrees" is false.
To explain why, let's first understand what supplementary angles are. Supplementary angles are two angles that add up to 180 degrees. So, if we have two pairs of supplementary angles, it means we have a total of four angles.
The sum of all four angles would be:
180 + 180 + 180 + 180 = 720 degrees, not 360 degrees.
Now, let's talk about the converse of the statement. The converse of a statement switches the order of the components. In this case, the converse would be: "If the sum of two angles equals 360 degrees, then the angles are supplementary."
The converse of the original statement is also false. This is because two angles that add up to 360 degrees are not necessarily supplementary. For example, an angle measuring 120 degrees and another angle measuring 240 degrees add up to 360 degrees, but they are not supplementary.
To summarize:
Original statement: False
Converse statement: False