Video Transcript
True or False: In the given figure,
the two straight lines the line between 𝐴 and 𝐵 and the line between 𝐶 and 𝐷 are
parallel.
In this question, we are asked to
determine if two lines are parallel using a given diagram. We can start by highlighting these
two lines as shown. We can see in the given figure that
the line between 𝐸 and 𝐹 is a transversal of this pair of lines, and we are given
the measure of two angles.
We can then recall that the sum of
the measure of the interior angles in a transversal of parallel lines must be 180
degrees. In other words, they must be
supplementary angles. However, if we add the measures of
the interior angles of the transversals of these two lines, we see that this sum is
170 degrees. So these angles are not
supplementary. Hence, the pair of lines cannot be
parallel, so the answer is false.
