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Mathematics 22 Online
OpenStudy (cookiemonster18):

1. Write an inequality relating the given angle measures. It is possible that there is not enough information to reach a conclusion. Fill in the blank with: <, >, =, or NC (no conclusion). (*** thought the answer was = but my teacher said I was wrong. Can someone help me correct it.****)

OpenStudy (cookiemonster18):

OpenStudy (cookiemonster18):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

Have you heard of the `hinge theorem` ?

OpenStudy (cookiemonster18):

No, not at all honestly.

jimthompson5910 (jim_thompson5910):

look at this image http://ceemrr.com/Geometry1/HingeTheorem/paste_image1.gif notice how the rubber band side gets longer as the angle H gets larger

OpenStudy (cookiemonster18):

yes.

OpenStudy (cookiemonster18):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

so the rule is the larger the angle, the larger the opposite side. Everything else is held equal or the same http://ceemrr.com/Geometry1/HingeTheorem/paste_image2.gif

jimthompson5910 (jim_thompson5910):

angle BDC is given at 87 degrees what is angle BDA ?

OpenStudy (cookiemonster18):

87 degrees? because the angles are both alike making them congruent so they should be equal right???

jimthompson5910 (jim_thompson5910):

hint: (angle BDA) + (angle BDC) = 180

OpenStudy (cookiemonster18):

90+90=180 so if BDA and BDC=180 then they are both 90 degrees so am I suppose to subtract 90 from 87 degrees? (I'm sorry, i'm not really use to this, I'm trying though)

jimthompson5910 (jim_thompson5910):

angle BDA = x x+87 = 180 x = ???

OpenStudy (cookiemonster18):

93 degrees because 93+87=180...

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

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jimthompson5910 (jim_thompson5910):

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jimthompson5910 (jim_thompson5910):

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