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