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anonymous
 one year ago
Given that m<GHJ is 14 degrees, find m<HIJ.
anonymous
 one year ago
Given that m<GHJ is 14 degrees, find m<HIJ.

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phi
 one year ago
Best ResponseYou've already chosen the best response.2do you know which angle is <GHJ ?

phi
 one year ago
Best ResponseYou've already chosen the best response.2any idea what the angle <GHJ + < IHJ add up to ? in the picture it's 154 + X (easier to type)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's where I get confused, because there is no actual number for x.

phi
 one year ago
Best ResponseYou've already chosen the best response.2it does not matter what the number is ... the idea is those two angles form a straight line and a straight line is an angle of how many degrees?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, I got x=26. I subtracted 154 from 180

phi
 one year ago
Best ResponseYou've already chosen the best response.2yes. we also know the two "marked angles" are equal (that is what the red arcs mean) if we call them Y (for convenience) the 3 angles of the triangle Y+Y+X= 180 and also from the first post 154+X= 180 so we can say 2Y+ X = 154+X or (subtract off X from both sides) 2Y= 154 now you can find Y (i.e. angle HIJ)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I got y=77 degrees, thank you for all the help!!

phi
 one year ago
Best ResponseYou've already chosen the best response.2or we could use x=26 and say 2Y+26= 180 2Y= 18026 2Y= 154 Y= 77

phi
 one year ago
Best ResponseYou've already chosen the best response.2the reasoning was a bit complicated... once people figured it out they said let the < GHJ be called an "exterior angle" and the exterior angle equals the sum of the two opposite angles. that lets you write down <GHJ = 2*<HIJ or 154 = 2 * <HIJ and <HIJ= 77

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I posted a similar one just now, it's even harder. Your explanation makes sense, thank you again!
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