Question

Lines v and w are parallel. Which statement can you NOT deduce from this information? Look at image attached.

Answer 1

Answer:

(A)

Step-by-step explanation:

It is given that lines v and w are parallel, then from the given figure, ∠2 and ∠6 form corresponding angle pair, therefore ∠2=∠6.

A.∠2+∠6=180°, his is incorrect because ∠2 and ∠6 form corresponding angle pair and are equal.

B.∠5≅∠8 because ∠5 and ∠8 form vertically opposite angle pair. Thus, this option is correct.

C.Since, sum of interior angles on the same side of transversal is 180°, therefore ∠3+∠5=180°, thus this option is correct.

D.∠1≅∠5 because ∠1 and ∠5 form the corresponding angle pair and are equal. Thus, this option is correct.

Answer 2

The top statement is incorrect.  Angle 2+angle 6 does NOT equal 180°