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Mathematics 10 Online
simsharrison:

Geometry?

simsharrison:

I know this is either A, B, C

nevaehhh:

Do you know the angle of a straight line?

simsharrison:

180

nevaehhh:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @simsharrison 180 \(\color{#0cbb34}{\text{End of Quote}}\) I'm sorry, scratch that. Do you know the theorems of angles such as Corresponding Angles, Alternate Interior, etc. ?

simsharrison:

Yes

simsharrison:

Which one do I need?

nevaehhh:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @simsharrison Which one do I need? \(\color{#0cbb34}{\text{End of Quote}}\) I'm pretty sure you need Alternate Exterior.

simsharrison:

Ok. If two lines are cut by a transversal and the alternate interior angles are congruent, the lines are parallel.

nevaehhh:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @simsharrison Ok. If two lines are cut by a transversal and the alternate interior angles are congruent, the lines are parallel. \(\color{#0cbb34}{\text{End of Quote}}\) Yes, this is the case for all theorems, except Consecutive Interior.

simsharrison:

ok

simsharrison:

@jimthompson5910

jimthompson5910:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @nevaehhh \(\color{#0cbb34}{\text{Originally Posted by}}\) @simsharrison Which one do I need? \(\color{#0cbb34}{\text{End of Quote}}\) I'm pretty sure you need Alternate Exterior. \(\color{#0cbb34}{\text{End of Quote}}\) That's correct. Specifically we will use these two alternate exterior angles |dw:1608066411429:dw|

jimthompson5910:

They are considered exterior angles because they outside the region shaded below (which we could consider an interior region) |dw:1608066493306:dw|

jimthompson5910:

and they are also alternating angles because they are on alternate sides of the transversal line

simsharrison:

Yes, I understand.

simsharrison:

The answer is C

jimthompson5910:

correct

nevaehhh:

That is correct.

nevaehhh:

Hoped I helped a little!

simsharrison:

Yes, you helped thank you @nevaehhh and @jimthompson5910

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