Answer:
The correct options are 1, 3 and 5.
Step-by-step explanation:
It is given the lines c and d are parallel and \(\angle 2=98^{\circ}\).
The lines a and b are transversal lines.
If line b is a transversal line, then all corresponding angles are same.
\(\angle 1=\angle 5\), \(\angle 2=\angle 6\), \(\angle 3=\angle 7\) and \(\angle 4=\angle 8\)
All alternate interiors angles are same and all alternate angles are same.
\(\angle 3=\angle 6\), \(\angle 4=\angle 5\), \(\angle 1=\angle 8\) and \(\angle 2=\angle 7\),
Angle 1 and 2 are supplementary angles.
\(\angle 1+\angle 2=180\)
\(\angle 1+98=180\)
\(\angle 1=82^{\circ}\)
Therefore we can say that
\(\angle 1=\angle 4=\angle 5=\angle 8=82^{\circ}\)
\(\angle 2=\angle 3=\angle 6=\angle 7=98^{\circ}\)
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.
