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Mathematics 6 Online
OpenStudy (devonhoward15):

Drag a statement or reason to each box to complete the proof.

OpenStudy (devonhoward15):

OpenStudy (devonhoward15):

@563blackghost

OpenStudy (devonhoward15):

the first one is given

OpenStudy (devonhoward15):

2 is definition of supplementary angles

563blackghost (563blackghost):

For the 3rd one we know that since `ACD and ACB are supplementary` that would mean that they would equal to 180 degrees but due to the fact that they lie on a linear line so the 3rd `in which I believe` is that it would be `Linear Pair Postulate`. `The linear pair postulate states that two angles that form a linear pair are supplementary.`

563blackghost (563blackghost):

Cited from planetmath.org

OpenStudy (devonhoward15):

OpenStudy (devonhoward15):

i believe i have the bottom two correct... and im just missing 4 and 5

563blackghost (563blackghost):

Now the 4th one for statement we are told that we use substitution for the equation above it....We only know that `angle ACD is equal to 60 degrees` so we would only substitute that one since we don't know as to what `angle ACB is`. So the 4th one would be \(\Large{60 +m \angle ACB =180}\)

OpenStudy (devonhoward15):

ok i was wrong lol

OpenStudy (devonhoward15):

so the 5th would be ACB=120 degrees

563blackghost (563blackghost):

Correct :)

OpenStudy (devonhoward15):

and obtuse triangle to obtuse triangle

563blackghost (563blackghost):

Yup ^^

OpenStudy (devonhoward15):

6 is definition of obtuse angle 7 is definition of obtuse triangle

563blackghost (563blackghost):

I would agree with you ;)

OpenStudy (devonhoward15):

thanks

OpenStudy (devonhoward15):

that was my last question

563blackghost (563blackghost):

np :)

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