Question
In figure transversal l intersects two lines m and n, $\angle{4}=110^\circ$ and $\angle{7}=65^\circ.$ Is m || n?
✓
Answer
Given:$\angle{4}=110^\circ$and $\angle{7}=65^\circ.$
To find: is m || n Here,$\angle{7}=\angle{5}=65^\circ$ [Vertically opposite angle]
Now,$\angle{4}+\angle{5}=110+65=175^\circ$
Therefore, m is not parallel to n as the pair of co interior angles is not supplementary.
To find: is m || n Here,$\angle{7}=\angle{5}=65^\circ$ [Vertically opposite angle]
Now,$\angle{4}+\angle{5}=110+65=175^\circ$
Therefore, m is not parallel to n as the pair of co interior angles is not supplementary.
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