Question

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

Answer 1

Statement that you can't  deduce from this information is <4=<7

Option C

Given :

From the given figure <2  and <3  are vertical opposite angles

∠2=∠3

angles 3 and 5  are co interior angles . So their sum is 180

∠3+∠5=180

so , ∠2+∠5=180

∠5 and ∠8 are  vertical opposite angles

∠5=∠8

we know that , ∠3+∠5=180

so, ∠3+∠8=180

∠1=∠8 ,  alternate exterior angles are equal .

∠6=∠7  , vertical opposite angles

∠4+∠6=180

So, ∠4+∠7=180

∠4 = ∠7 is not possible . It cannot be verified

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