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Mathematics 22 Online
OpenStudy (devonhoward15):

A conjecture and the two-column proof used to prove the conjecture are shown.

OpenStudy (devonhoward15):

OpenStudy (devonhoward15):

OpenStudy (devonhoward15):

ok thats it lol

563blackghost (563blackghost):

:)

563blackghost (563blackghost):

So like before I check if your right?

OpenStudy (devonhoward15):

yes 2-5... i got 6

563blackghost (563blackghost):

Alrighty :)

OpenStudy (devonhoward15):

2- definition of right angle

563blackghost (563blackghost):

Not quite. If we look at the shape we see that `angle ABC and angle CBD` lie on the same straight line this would mean that `angle ABC and angle CBD are supplementary due to the fact of Linear Pair Postulate`.

OpenStudy (devonhoward15):

so linear pair postulate

563blackghost (563blackghost):

Yup :)

563blackghost (563blackghost):

`Linear Pair Postulate` says that if two angles lie on the same line then they are supplementary.

OpenStudy (devonhoward15):

3-m angle ABC +m angle CBD=180

OpenStudy (devonhoward15):

these might be wrong so just bear with me lol

563blackghost (563blackghost):

All's good (totally fine) ^.^ Yes 3 is right :)

OpenStudy (devonhoward15):

4- substitution property of equality

563blackghost (563blackghost):

Correct :)

OpenStudy (devonhoward15):

5- m angle ABC=90

563blackghost (563blackghost):

Yup :)

OpenStudy (devonhoward15):

and 1 and 6 are both given

563blackghost (563blackghost):

6 is not given. We are only given that CBD is equal to 90 degrees.

563blackghost (563blackghost):

Since ABC is equal to 90 degrees then it a right angle due to the fact that is the definition of a right angle :)

OpenStudy (devonhoward15):

thank you very much i really appreciate it... im all done

563blackghost (563blackghost):

Your very welcome ;)

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