Question

Lines f and g are parallel which statement can you not reduce from this information?

Answer 1

Answer: Choice C

There is no way to figure out if angle 4 and angle 7 are congruent. If we knew they were right angles, then we would be able to determine that. However, that isn't the case here.

Answer 2

Option C. is the answer.

Explanation:

In the figure attached, f and g are two parallel lines and a transverse is intersecting these lines.

Now we will each option to check whether it is applicable or not.

A. ∠1 ≅ ∠8

Since ∠1 ≅ ∠5 [ Corresponding angles]

and ∠5 ≅ ∠8 [ opposite angles ]

Therefore, ∠1 ≅ ∠8 [Transitive property of equality]

Therefore, option is correct.

B). m∠2 + m∠5 = 180°

Since ∠2 ≅ ∠7

Therefore, m∠7 + m∠5 = 180° [ supplementary angles]

Therefore, option is correct.

C. ∠4 ≅ ∠7

We can not deduce this statement from the given statement.

D. ∠3 + ∠8 = 180°

Since ∠3 ≅ ∠7

So ∠7 + ∠8 = 180°

And we know ∠7 and ∠8 are supplementary angles.

So this option is correct.