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?

- anonymous

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- anonymous

m of arc XY = 100 degrees
m of arc YZ = 120 degrees and
m of arc ZX = 140 degrees

- 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

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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## More answers

- anonymous

Can someone draw this circle and help me? Please

- amistre64

this one?

- anonymous

yes please

- amistre64

itll have to wait; might not be back on. the library is closing up and i have to find another wifi spot...

- anonymous

ok boo thank you... I'll be here

- amistre64

##### 1 Attachment

- amistre64

how do we modify this?

- anonymous

thats good... now... ummm let me see

- anonymous

you have it labeled correctly

- anonymous

now, draw an internal line in the circle from Y to Z

- anonymous

an internal line from Z to X. Q is the center point

- anonymous

A line from Q to Z as well

- anonymous

A line from Y to Q and a line from X to Q... kind forms a wierd triangle with a radius QZ

- 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

##### 1 Attachment

- anonymous

Angle 4 is the angle Y makes umm... Angle QYZ and angle 5 is XZQ same triangle as Angle 3

- amistre64

you have a prnt scrn button :)

- anonymous

Q is the center of the circle...

- anonymous

yes

- 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

paint program

- anonymous

ok let me try this.. never did it before

- anonymous

where is the paint program? I copied and pasted it into word. ??

- amistre64

start; accessories; paint is usually the path to take

- amistre64

start; programs; accessories; paint...

- anonymous

found it one moment

- anonymous

thats neat

- amistre64

it is aint it lol

- 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

save it to your desktop; then 'attach file' it to the post

- anonymous

ok

- anonymous

##### 1 Attachment

- anonymous

ha mybe I sould have made it bigger

- amistre64

its good :)

- amistre64

so whats the question tat goes with this :)

- anonymous

This is inscribed angles and arcs, I have to find angle 1, 2 , and 3 and 5

- anonymous

Ha thanks LOL

- anonymous

Find the measures of those angles

- amistre64

ang1 = arc.yx

- amistre64

ang2 = arc.yz

- anonymous

in the beginning of my problem Arc XY:arc YZ:Arc ZX = 5:6:7

- anonymous

not sure why proportions are in this

- amistre64

5 6 7 probably give you a unit measure but yeah, its added detail i think

- amistre64

ang3 = arc.xz

- anonymous

yes to angle 1 yes to angle 2

- anonymous

yep to angle 3

- amistre64

ang5 = (180-arc.xz)/2

- anonymous

I know from the back of the book angle 4 is 30 degrees

- anonymous

it was an odd number :(

- amistre64

ang4 = (180 - arc.yz)/2 if you wanna check mymethod here

- amistre64

ang5 = 20?

- amistre64

180 - 140 = 40/2 = 20 right?

- 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

180-120 = 60/2 = 30

- anonymous

where did 140 come from? and how did you know that?

- amistre64

xy = 100; yz = 120; zx = 140
interior angles at center; 1 = 100; 2 = 120; 3 = 140

- anonymous

yeah where did those come from... I know 360 is a circle but how did you know to divide those accordingly?

- 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

the measure of the arc isnt a length, its a distance rotated; shich is why its in degrees

- anonymous

k

- amistre64

an arc length of 90 degrees mens they turned it 90 degrees lol

- 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

180-central angle = whats left over
whats left over/2 is the only thing they an be lol

- anonymous

hey angle 4 comes out right!!!! Oh wow this is complicated stuff!!!

- amistre64

:)

- anonymous

what about angle 1, 2 and 3?? is that all in here? LOL

- anonymous

angle 1 would be 180 - xy/2?

- anonymous

You are very smart!!!! and thank you for all you have taught me!!!!

- anonymous

ha the paint too!!!

- amistre64

ang1 = its arc length that it is in front of:) and youre welcome

- amistre64

there are no lines to determine angles associated with ang1

- anonymous

angle 1 comes out 40

- amistre64

but if you did put a line ther; then yes, that would be how you find them

- amistre64

yes; the complement angles to 1 would have been 40 :)

- anonymous

ha oh boy.... its 100

- amistre64

yes; ang1 is 100 :)

- 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

Angle 1I'm talking about...

- anonymous

Okay... I'll zip the lip!!! LOL thanks!

- amistre64

right; center angle sweeps out an arc length of # degrees that arc length is

- amistre64

if arc length = 120 degrees, then angle has to be 120 degrees

- anonymous

completely makes sense!

- anonymous

you are a rock star!!!

- amistre64

:) thnx

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