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So basically, #1 is saying that the line GH is cutting the angle FGI in half. So that would mean the 2 angles FGH and HGI are the same measure right?
So if you know that FGI is (3x-3) HGI is (4x-14) and that FGI = HGI what equation could you make?
(3x-3)=(4x-14) there's suppose to be another equation there right?! @littlenugget
first solve that equation to find x, then after you find what x is, you can plug it into the equation for FGH, which is (3x-3) and you will find the measure of the angle FGH, which is the answer for the first one :) i'm really sorry i didn't reply sooner, i went to eat dinner...... :/
So...... 3x-3=4x-14 -3x -3x get all the x's to one side ------------ -3= x-14 now get the x by itself +14 +14 ------------ 11=x x=11
Now that we know x, we can just plug it into the equation (3x-3) :) 3x-3 3(11)-3 33-3 30 so now we know that the measure of FGH is 30!
and since FGH=HGI you don't need to solve for HGI. because we already know the measure for FGH which is 30.
FGI is the angles FGH and HGI combined, so the equation would be: FGI=GH+HGI
So... FGI=30+30 FGI=60
So now the problem is solved :) did everything make sense? do you want any clarification on anything?
So for 32, see the line FD and how its straight? that means its a 180 degree line. so it has 3 angles in it: FCA, ACB, and BCD. so we would make the equation FCA+ACB+BCD=180 can you plug in the values for me? :)
okay hold on :)
55 + 65 + 60= 180... i think i did that wrong lol @littlenugget
the 65 was right! :) but for FCA, notice how it has a red square, what does that tell us about the angle?
its a right angle or its congruent...? i have a feeling its congruent lol @littlenugget
lol :3 well, the square always means right angle (90 degrees) and the curve always means congruent. |dw:1378077274481:dw|
ok so its a right angle which means its exactly 90 degrees. so it'd be 90 + 65 + 25.. right?
YES!!!! :D so now you just found out the measure of BCD, 25
okay! I love the way you explained everything out so perfectly and understandable! I'm writing all of these problems down as notes in my notebook!! very useful :) are you online a lot? :) @littlenugget
aww thank you so much!!!!!!!!!!! <3 :D I'm so glad you're understanding everything!!! :DDDD sometimes, but now that school and marching season has started, i'm mostly online only at night and on the weekends
if you're on at night during the week that'd be super awesome because I just started 10th grade and I'm in geometry and I get confused sometimes & basically this site is like my only source of clarification until tutoring starts and even with tutoring I'd still like you to check my work whenever you're available! @littlenugget
For number 34, ACE has 2 angles inside of it: ACF, and FCE. So, we'll just add ACF and FCE. So the equation would be ACF+FCE=ACE we know that ACF is a right angle because of the red square thingy :) and since FCE has a red curve, and so does BCD (from the previous question) we know that they are congruent! :) so can you plug in the values for me? sure definitely! I'd love to help! Feel free to tag me or pm me, and I'll try to help whenever i can. :)
acf= 90 fce=25 so that'll equal to 115? @littlenugget
thaaaank you sosooooosooosoooso much for teaching me how to do this!! @littlenugget
your welcome :D it's really nice meeting you!
@littlenugget Awww! it was nice meeting you too! :)