Question

Assume lines c and d are parallel and 2 measures 98°. Which statements are true?

Answer 1

I would say 3=6=98,4=8=82,5=8=82

Answer 2

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.