Question

I need help with a few problems please ? Won't take long ...

Road A and Road B are parallel to each other. They are intersected by Road C, as shown.



Which relationship between the angles is true?

M<3=M<6
M<4=M<6
M<3=M<8
M<4=M<7

Answer 1

I was thinking it was C or D ??

Answer 2

vertical angles are equal
corresponding angles are equal
alternate interior angles are equal
alternate exterior angles are equal

which of the pairs share one of these relationships?

Answer 3

I feel dumb but would it be C ?

Answer 4

no not C .... angles 3 and 8 are not equal
for example, 3 and 5 are alternate interior so they are equal but 5 and 8 are supplementary therefore 3 and 8 are not equal

Answer 5

So i can eliminate C but would be 4,7 ?

Answer 6

No for the same reason, notice how angle 4 is "inside" the parallel lines but angle 7 is "outside" the lines and on opposite side of transversal .....this means they do not share a "equal" relationship

Answer 7

just by looking at it you could tell that angle 4 looks bigger than angle 7 right?

Answer 8

Yes , so it'll be 3,6 because their both inside the lines ?

Answer 9

do they look like they are same size?
sorry they are on same side of transversal though which makes them co-interior angles which are supplementary
you need to study all the diff types of angle relationships in your notes
vertical angles
supplementary angles
corresponding angles
alternate interior
alternate exterior
co-interior

Answer 10

Ok thanks geometry isn't my biggest subject ..

Answer 11

i didn't like geometry either:)
just have to memerize all the diff terms and relationships
so anyway answer is B, angles 4 and 6 are equal because they are alternate interior angles

Answer 12

ok thank you

Answer 13

gonna post another question after i close this one