Answer:
The correct options are 1, 3 and 5.
Step-by-step explanation:
It is given the lines c and d are parallel and [tex]\angle 2=98^{\circ}[/tex].
The lines a and b are transversal lines.
If line b is a transversal line, then all corresponding angles are same.
[tex]\angle 1=\angle 5[/tex], [tex]\angle 2=\angle 6[/tex], [tex]\angle 3=\angle 7[/tex] and [tex]\angle 4=\angle 8[/tex]
All alternate interiors angles are same and all alternate angles are same.
[tex]\angle 3=\angle 6[/tex], [tex]\angle 4=\angle 5[/tex], [tex]\angle 1=\angle 8[/tex] and [tex]\angle 2=\angle 7[/tex],
Angle 1 and 2 are supplementary angles.
[tex]\angle 1+\angle 2=180[/tex]
[tex]\angle 1+98=180[/tex]
[tex]\angle 1=82^{\circ}[/tex]
Therefore we can say that
[tex]\angle 1=\angle 4=\angle 5=\angle 8=82^{\circ}[/tex]
[tex]\angle 2=\angle 3=\angle 6=\angle 7=98^{\circ}[/tex]
The lines a and b are not parallel to each other, so we cannot find any relationship between another angles which are lie on transversals line a.
Therefore options 1, 3 and 5 are correct.
