Question

Given that a||b, and c is not parallel to a or b which statement must be true

Answer 1

Answer:

2° = 7° is true

Step-by-step explanation:

Since line c is not parallel to line a and b:

• 9°,10°,11° and 12° cannot equal to 1°,2°,3°,4°,5°,6°,7° and 8°.

Because line c is not parallel, 9,10,11 and 12 gives different measure.

So 7° = 10° is false because like said, these angles give different measure and 7° cannot equal to 10° since both lines are not parallel. Alternate Interior Theorem does not work because both lines are given not parallel.

2° = 7° is true because both lines are parallel and we can use Alternate Exterior Theorem

Or since 2° = 6° and 6° = 7° because cross-intersect forms same measureof opposite sides. Hence, 2° = 7°

8° = 9° is false and the reason is same as 7°=10°.