anonymous
  • anonymous
Can someone help me find the value of a?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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alekos
  • alekos
give me 5 minutes to think about it
anonymous
  • anonymous
no problem

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alekos
  • alekos
have they given you an answer?
anonymous
  • anonymous
Its multiple choice, 101 96 200 192
alekos
  • alekos
OK that's good because one of those choices matches my answer
anonymous
  • anonymous
awesome, can you show me how its done
alekos
  • alekos
|dw:1446839370446:dw|
anonymous
  • anonymous
ok
anonymous
  • anonymous
uhm im not really getting that, i have no idea what those little symbols mean so..
alekos
  • alekos
They are just angles
alekos
  • alekos
Can you see that d = 80 ?
anonymous
  • anonymous
Yes
alekos
  • alekos
Now d = α + γ ΟΚ?
anonymous
  • anonymous
Yea i see that
alekos
  • alekos
OK good, so α + γ = 80 Now can you see that 2γ + 99 = 180 ?
anonymous
  • anonymous
Kind of. when i did the math it didnt come up to be any of my answer choices
alekos
  • alekos
We have an isosceles triangle with the two base angles γ and the top angle of 99 thus they must all add up to 180 you see?
anonymous
  • anonymous
uhm no i get the concept but im not getting any of the answer choices.
alekos
  • alekos
Thats because we havent finished yet from here we can work out that γ = 40.5 ΟΚ?
anonymous
  • anonymous
Okay, yea 180 - 99 / 2 = 40.5 got it
alekos
  • alekos
ΟΚ so now we can work out α because α + γ = 80 and hence α = 39.5 but we also have a + 2α = 180 you see?
anonymous
  • anonymous
uhm sure
alekos
  • alekos
and from here we can work out a value for a! and there we are!
anonymous
  • anonymous
ok.. uhm
alekos
  • alekos
its all to do with the fact that all the lines drawn from the vertices of the cyc quadrilateral to the centre of the circle are equal and form 4 isosceles triangles
anonymous
  • anonymous
101?
alekos
  • alekos
thats it
anonymous
  • anonymous
nice. thank you so much
alekos
  • alekos
thats fine, just go through my steps again and you'll gain a better understanding
alekos
  • alekos
its hard to describe using this method of communication. I usually do this one on one with my students and that way they really understand

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