anonymous
  • anonymous
Given a circle Q where m of arc XY: m of arc YZ: m of arc ZX = 5:6:7 how do I find the measure of angles?
Mathematics
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anonymous
  • anonymous
Given a circle Q where m of arc XY: m of arc YZ: m of arc ZX = 5:6:7 how do I find the measure of angles?
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
m of arc XY = 100 degrees m of arc YZ = 120 degrees and m of arc ZX = 140 degrees
anonymous
  • anonymous
m arc 1 is angle XQZ M angle 2 is angle YQZ m of angle 3 is angle WQZ ??? how do I answer this
anonymous
  • anonymous
I also know the m of angle 4 is 30 degrees I need to find the measure of angle 5 which is angle XZQ

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anonymous
  • anonymous
Can someone draw this circle and help me? Please
amistre64
  • amistre64
this one?
anonymous
  • anonymous
yes please
amistre64
  • amistre64
itll have to wait; might not be back on. the library is closing up and i have to find another wifi spot...
anonymous
  • anonymous
ok boo thank you... I'll be here
amistre64
  • amistre64
1 Attachment
amistre64
  • amistre64
how do we modify this?
anonymous
  • anonymous
thats good... now... ummm let me see
anonymous
  • anonymous
you have it labeled correctly
anonymous
  • anonymous
now, draw an internal line in the circle from Y to Z
anonymous
  • anonymous
an internal line from Z to X. Q is the center point
anonymous
  • anonymous
A line from Q to Z as well
anonymous
  • anonymous
A line from Y to Q and a line from X to Q... kind forms a wierd triangle with a radius QZ
anonymous
  • anonymous
between XY with Q as the center Angle XQY is angle 1, Angle YQZ is angle 2 and Angle ZQX is angle 3
amistre64
  • amistre64
1 Attachment
anonymous
  • anonymous
Angle 4 is the angle Y makes umm... Angle QYZ and angle 5 is XZQ same triangle as Angle 3
amistre64
  • amistre64
you have a prnt scrn button :)
anonymous
  • anonymous
Q is the center of the circle...
anonymous
  • anonymous
yes
amistre64
  • amistre64
that allows you to take a screen shot of whateves on the monitor; open up a pint program; and paste it in there and modify it :)
amistre64
  • amistre64
paint program
anonymous
  • anonymous
ok let me try this.. never did it before
anonymous
  • anonymous
where is the paint program? I copied and pasted it into word. ??
amistre64
  • amistre64
start; accessories; paint is usually the path to take
amistre64
  • amistre64
start; programs; accessories; paint...
anonymous
  • anonymous
found it one moment
anonymous
  • anonymous
thats neat
amistre64
  • amistre64
it is aint it lol
anonymous
  • anonymous
ok how to I copy and paste it? It looks a little junky but ha first time user... Just as long as you get the point....
amistre64
  • amistre64
save it to your desktop; then 'attach file' it to the post
anonymous
  • anonymous
ok
anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
ha mybe I sould have made it bigger
amistre64
  • amistre64
its good :)
amistre64
  • amistre64
so whats the question tat goes with this :)
anonymous
  • anonymous
This is inscribed angles and arcs, I have to find angle 1, 2 , and 3 and 5
anonymous
  • anonymous
Ha thanks LOL
anonymous
  • anonymous
Find the measures of those angles
amistre64
  • amistre64
ang1 = arc.yx
amistre64
  • amistre64
ang2 = arc.yz
anonymous
  • anonymous
in the beginning of my problem Arc XY:arc YZ:Arc ZX = 5:6:7
anonymous
  • anonymous
not sure why proportions are in this
amistre64
  • amistre64
5 6 7 probably give you a unit measure but yeah, its added detail i think
amistre64
  • amistre64
ang3 = arc.xz
anonymous
  • anonymous
yes to angle 1 yes to angle 2
anonymous
  • anonymous
yep to angle 3
amistre64
  • amistre64
ang5 = (180-arc.xz)/2
anonymous
  • anonymous
I know from the back of the book angle 4 is 30 degrees
anonymous
  • anonymous
it was an odd number :(
amistre64
  • amistre64
ang4 = (180 - arc.yz)/2 if you wanna check mymethod here
amistre64
  • amistre64
ang5 = 20?
amistre64
  • amistre64
180 - 140 = 40/2 = 20 right?
anonymous
  • anonymous
ummm yes it looks like a smaller angle... I'm trying to see if angle 4 is working out... sorry ... slow motion over here... :)
amistre64
  • amistre64
180-120 = 60/2 = 30
anonymous
  • anonymous
where did 140 come from? and how did you know that?
amistre64
  • amistre64
xy = 100; yz = 120; zx = 140 interior angles at center; 1 = 100; 2 = 120; 3 = 140
anonymous
  • anonymous
yeah where did those come from... I know 360 is a circle but how did you know to divide those accordingly?
amistre64
  • amistre64
all triangles from the center are isosoles; if youknow the inside angle the other two are (180-inside)/2 since they are equal angles
amistre64
  • amistre64
the measure of the arc isnt a length, its a distance rotated; shich is why its in degrees
anonymous
  • anonymous
k
amistre64
  • amistre64
an arc length of 90 degrees mens they turned it 90 degrees lol
amistre64
  • amistre64
once you know the interior central angles; the other angles are equal in size; and all triangles add up to 180 degrees inside them
amistre64
  • amistre64
180-central angle = whats left over whats left over/2 is the only thing they an be lol
anonymous
  • anonymous
hey angle 4 comes out right!!!! Oh wow this is complicated stuff!!!
amistre64
  • amistre64
:)
anonymous
  • anonymous
what about angle 1, 2 and 3?? is that all in here? LOL
anonymous
  • anonymous
angle 1 would be 180 - xy/2?
anonymous
  • anonymous
You are very smart!!!! and thank you for all you have taught me!!!!
anonymous
  • anonymous
ha the paint too!!!
amistre64
  • amistre64
ang1 = its arc length that it is in front of:) and youre welcome
amistre64
  • amistre64
there are no lines to determine angles associated with ang1
anonymous
  • anonymous
angle 1 comes out 40
amistre64
  • amistre64
but if you did put a line ther; then yes, that would be how you find them
amistre64
  • amistre64
yes; the complement angles to 1 would have been 40 :)
anonymous
  • anonymous
ha oh boy.... its 100
amistre64
  • amistre64
yes; ang1 is 100 :)
anonymous
  • anonymous
Ok I should be good I understand, I think thats cause the angle is on the center... not in one of them triangles... right?
anonymous
  • anonymous
Angle 1I'm talking about...
anonymous
  • anonymous
Okay... I'll zip the lip!!! LOL thanks!
amistre64
  • amistre64
right; center angle sweeps out an arc length of # degrees that arc length is
amistre64
  • amistre64
if arc length = 120 degrees, then angle has to be 120 degrees
anonymous
  • anonymous
completely makes sense!
anonymous
  • anonymous
you are a rock star!!!
amistre64
  • amistre64
:) thnx

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