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

check all that apply.

3 = 6 = 98°

3 = 14 = 98°

4 = 8 = 82°

4 = 12 = 82°

5 = 8 = 82°

The correct options are  1, 3 and 5.

Step-by-step explanation:

It is given the  lines c and d are parallel and .

The lines a and b are transversal lines.

If line b is a transversal line, then all corresponding angles are same.

, , and

All alternate interiors angles are same and all alternate angles are same.

, , and ,

Angle 1 and 2 are supplementary angles.

Therefore we can say that

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.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

there are no answer choices

step-by-step explanation: