Example : In the above figure l//m; n is the transversal. If Ð1 = 110°, find the other angles ?
Solution : Given that Ð1 = 110°.
Ð1 =Ð5, since Ð1 and Ð5 are corresponding angles.
Therefore Ð5 = 110°
Ð5 = Ð3, since they are interior alternate angles.
Therefore Ð3 = 110°.
Ð3 = Ð
7, since they are corresponding angles.
Therefore Ð7 = 110°.
Ð4 + Ð5 = 180°, since Ð4 and Ð5 are the interior angles those are on the same side of the transversal.
But Ð5 = 110°
Therefore Ð4 = 180° - 110° = 70°.
Ð4 = Ð6, since they are interior alternate angles.
Therefore Ð6 = 70°.
Ð2 = Ð6, since they are corresponding angles.
Therefore Ð2 = 70°.
Therefore Ð1 = 110°
, Ð2 = 70°,
Ð3 = 110°,
Ð4 = 70°,
Ð5 = 110°,
Ð7 = 110°
and Ð8 = 70°.
Directions:Answer the following questions. Also draw parallel lines with a transversal and show all the angles formed by them and write all the sets of congruent and supplementary angles.>