Question

Lines f and g are parallel. Which statement can you NOT deduce from the information?

Answer 1

i think it’s c, because first of all, do 4 and 7 look congruent? i don’t think so. and also i think that the inside ones arent congruent but u can search that up?

Answer 2

Option 3 is incorrect.

Explanation:

Option 1:

Angles 1 is congruent to angle 8: correct as these are alternate exterior angles.

Option 2:

m∠2 + m∠5 =180 degrees: correct as these are same side interior angles. These add up to 180 degrees.

Option 3:

Angle 4 is congruent to angles 7: incorrect as when two parallel lines are cut by a transversal, the alternate interior angles are congruent. And angle 4 and 7 are not alternate.

Option 4:

m∠3 +m∠8 = 180 degrees. correct because the exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles. Here angles 3 and 8 are exterior angles and its remote interior angles are 2 and 5; which sum up to 180 degrees. So, this point is also correct.