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I know vertical angles are congruent, and that 1 and 4 and 2 and 3 will be supplementry.
hmm... that looks impossible...
1 and 3 have to be equal if these are straight lines
what? waaaah. ;(
oh, not wait, sorry, my bad
well, they are vertical angles so I know they are congruent.
I was thinking of if these lines had met at the center of the circle...
Does 1/3 = 2/4? Geometry theorems are not exactly fresh in my memory
referring to the the arcs captured by the angles
It would be nice if the circumference or radius of the circle was given. What theorem does the problem want you to use (it says use theorem ??)
4 and 2 equal 140 and 1 and 40 is what I came up with by making up a few theorems out of shear imagination and assumptions
That would give you a sum of 140 + 140 + 40 +40 =360 that is consistent, but how did you come up with that? Lets hear your assumptions, and reveal the imaginations.
well, alright, I really am not sure about anything I'll be saying from this point on, but I think it might make sense. also, (50+30)/2 = 40, so maybe that's some kind of a theorem. let's suppose arc1/arc3 = arc2/arc4 arc2 = 360-30-50-arc4 (280-arc4)/arc4=50/30 arc4=105 arc2=175 then, for the actual angles (1=x, 2=y) 175/50= x/y x=180-y 175/50=(180-y)/y y =140 x=40 Disclaimer : I cannot be held responsible for a wrong answer here :-P
the answer was right! thank you.
well I'll be damned! Ok, I won't be building bridges anytime soon with that kind of reasoning, but it's still nice to know that I got some good geometry instincts ;-)
haha, true! thanks so much.... onto another problem that is distinctly the same. -__-
Your intuition was great, deserve a medal for sure @m_charron2