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Mathematics 9 Online
OpenStudy (anonymous):

Use a paragraph proof to prove the same-side interior angles theorem. Given: segment A B is parallel to segment C D. Prove: Same-side interior angles are supplementary

OpenStudy (anonymous):

OpenStudy (maheshmeghwal9):

will u tell me numberwise which are Same-side interior angles?

OpenStudy (maheshmeghwal9):

what r the no. for them?

OpenStudy (anonymous):

angle 6 and angle 3.

OpenStudy (maheshmeghwal9):

oh i see:)

OpenStudy (anonymous):

lol :) can you help me??

OpenStudy (maheshmeghwal9):

lol; Do u know that angle 4= angle 6 due to alternate angles property ?

OpenStudy (anonymous):

oh yeah! they do dont they!

OpenStudy (maheshmeghwal9):

Alternates angles are like this|dw:1340391955829:dw|

OpenStudy (anonymous):

right...

OpenStudy (maheshmeghwal9):

So in this case they are first one now do u know angle 4 + angle 3 =180 degrees due to property of angles on a straight line ?

OpenStudy (anonymous):

yeah i knew that!

OpenStudy (maheshmeghwal9):

so u have now 2 equations: - 1.) angle 4 = angle 6 2.) angle 4 + angle 3 =180 Put angle 6 instead of angle 4 in 2nd equation becoz they are equal So what do u get?

OpenStudy (anonymous):

180 since angle 4 equals angle 6, right?

OpenStudy (maheshmeghwal9):

ya so angle 6 + angle 3 =180 therefore they are supplementary. Q.E.D.

OpenStudy (anonymous):

GAH THANK YOU SO MUCH lol

OpenStudy (maheshmeghwal9):

lol lol lol lol lol lol lol You are welcome:)

OpenStudy (maheshmeghwal9):

So u r new to OS.

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