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Mathematics 28 Online
OpenStudy (buckybarnes):

Which biconditional is not a good definition? A. Two angles are supplementary if and only if the sum of their angles measure 180. B. Two angles are vertical angles if and only if they are nonadjacent and are formed by two intersecting lines. C. Two angles from a linear lair if and only if the angles are adjacent. D. The sum of two angles is 90 if and only if they are complementary

OpenStudy (3mar):

What you got?

OpenStudy (buckybarnes):

I think it's B

OpenStudy (3mar):

why?

OpenStudy (buckybarnes):

Because the word nonadjacent? It's the only one that doesn't make complete sense.

OpenStudy (3mar):

OpenStudy (buckybarnes):

So it's not b?

OpenStudy (3mar):

Really I am not sure. You choose, I check ;)

OpenStudy (buckybarnes):

:(

OpenStudy (3mar):

Don't be sad!

OpenStudy (3mar):

It is not the end of the life!

OpenStudy (3mar):

Let's think by Exclusion! ok? what about A ?

OpenStudy (buckybarnes):

A is correct

OpenStudy (buckybarnes):

It's definition is anyways. supplementary angles equal 180

OpenStudy (3mar):

Nice! b?

OpenStudy (3mar):

ok let b now c?

OpenStudy (buckybarnes):

Im not sure about c

OpenStudy (buckybarnes):

I know it has to have adjacent pairs whose uncommon sides are opposite rays

OpenStudy (buckybarnes):

And I know d is correct because complementary angles equal 90

OpenStudy (buckybarnes):

@mathmate

OpenStudy (3mar):

So A and D are correct, so we are thinking between C and B!

OpenStudy (3mar):

@triciaal

OpenStudy (3mar):

Two angles from a linear lair if and only if the angles are adjacent. pair or lair?

OpenStudy (buckybarnes):

Pair sorry

OpenStudy (3mar):

Ok That makes sense!

OpenStudy (buckybarnes):

I think it's b because doesn't a vertical angle have to be supplementary?

OpenStudy (3mar):

It was an emergency call. sorry

OpenStudy (3mar):

Hey hey I got it It is C Forgive me for being late!

OpenStudy (3mar):

@BuckyBarnes

OpenStudy (3mar):

The choice that has not a good definition (insufficient conditions) is C WHY? Because this is the correct one: Two angles form a linear pair if and only if they are adjacent and their non-common sides form a pair of opposite rays.

OpenStudy (3mar):

I hope you got it.

OpenStudy (buckybarnes):

What does nonadjacent mean?

OpenStudy (3mar):

|dw:1475366950124:dw|

OpenStudy (3mar):

For angles a and b, there are linear pair of angles as the other sides of the angles (AB and BC) form a pair of opposite rays, which does not satisfied in EF and FG (these are not opposite rays) |dw:1475367294012:dw|

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