Given a||b ,and cis not parallel to a or b which of the following are true ? choose all answers that are correct.

Options B and D are true.

Step-by-step explanation:

See the diagram attached.

Line a and b are parallel and line c is not parallel to them.

There is a transverse line and this line forms the angles 1 to 12.

Now, option A gives ∠ 8 + ∠ 10 = 180° which can not be true as line c is not parallel to line b.

Option B gives ∠4 + ∠ 6 = 180° which is true because line a is parallel to line b and ∠ 4 and ∠ 6 are interior supplementary angles.

Option C gives ∠ 1 + ∠ 11 = 180° which can not be true as line c is not parallel to line a.

Option D gives ∠3 + ∠ 5 = 180° which is true because line a is parallel to line b and ∠ 3 and ∠ 5 are interior supplementary angles.

Therefore, options B and D are true. (Answer)

Let (-18, -5) be (x1,y1)

(-19, -13) be (x2,y2)

slope = (y2-y1)/(x2-x1)= (-13+5)/(-19 +18) = 8