Consider the following conditional statement:

If two angles form a linear pair, then they are supplementary.

Identify the following statements as the converse, inverse, or contrapositive and determine whether each statement is true or false:

a. If two angles are not supplementary, then they do not form a linear pair.

b. If two angles are supplementary, then they form a linear pair.

c. If two angles do not form a linear pair, then they are supplementary.

Respuesta :

Answer:

a. contrapositive because it's the converse and inverse. True.

b. converse because it's the reverse of conditional statement. True.

c. That is false so it's not converse, inverse, or contrapositive.

When two lines intersect, a sequential pair of vantage points are formed so, Angles should be straightforward if lines are adjacent to one another, and the further discussion can be defined as follows:

  • In a straight evaluation of the specific is 180°, thus a linear corner duo has to be added to 180°.
  • If after crossing the two lines, the angles thus formed are adjacent to each other, the corners are said to be linear.
  • Where two corners form a linear pair, the corners are additional, with measurements approximately 180°, therefore, a linear angle pair always amounts to 180°.
  • For a, it is true because it is the opposite and the opposite.
  • For b, it is true because converse as it's the opposite of the conditional declaration.
  • For c, it is false because it's not reverse or contrary.

Therefore the final answer is "True, True, and False".

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