anonymous
  • anonymous
how do I solve? kind of confused. Find the measures of each angle using the theorems. Picture shown below.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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anonymous
  • anonymous
I know vertical angles are congruent, and that 1 and 4 and 2 and 3 will be supplementry.
anonymous
  • anonymous
hmm... that looks impossible...

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anonymous
  • anonymous
1 and 3 have to be equal if these are straight lines
anonymous
  • anonymous
what? waaaah. ;(
anonymous
  • anonymous
oh, not wait, sorry, my bad
anonymous
  • anonymous
well, they are vertical angles so I know they are congruent.
anonymous
  • anonymous
I was thinking of if these lines had met at the center of the circle...
anonymous
  • anonymous
Does 1/3 = 2/4? Geometry theorems are not exactly fresh in my memory
anonymous
  • anonymous
referring to the the arcs captured by the angles
radar
  • radar
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 ??)
anonymous
  • anonymous
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
radar
  • radar
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.
anonymous
  • anonymous
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
anonymous
  • anonymous
the answer was right! thank you.
anonymous
  • anonymous
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 ;-)
anonymous
  • anonymous
haha, true! thanks so much.... onto another problem that is distinctly the same. -__-
radar
  • radar
Your intuition was great, deserve a medal for sure @m_charron2

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