Alia H.
asked • 09/17/23Consider the following conditional statement: If 2 angles from a linear pair, then they are supplementary. Write the statement as a conditional statement.
It seems to already be a conditional statement so I don't understand what it wants me to do.
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1 Expert Answer
Ask your teacher. I agree this is already a conditional statement, except "from" should be "form".
A conditional statement has the form:
If p, then q.
p must be a statement, and q must be a statement.
If 2 angles form a linear pair, then they are supplementary.
The converse, by the way, is not true. Not all supplementary angles are linear pairs.
Alia H.
I will. Thank you.
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09/18/23
Alia H.
Would I just say that If 2 angles are supplementary then they form a linear pair?
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09/18/23
James S.
tutor
NO! That is not true!
Consecutive interior angles formed by two parallel lines and a line cutting across them (a transversal) are supplementary, but they are not a linear pair.
A linear pair is two angles which share a common vertex and a common edge. The sum of the measures of these two angles must be 180 degrees.
In other words, the two edges that are not in common form a straight line. Check your textbook for an example.
A linear pair is also a supplementary pair. But not all supplementary pairs are also linear.pairs.
It's like saying all squares are rectangles, but not all rectangles are squares.
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09/18/23
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Doug C.
09/17/23