Question

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?

Answer 1

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

Answer 2

m arc 1 is angle XQZ
M angle 2 is angle YQZ
m of angle 3 is angle WQZ
??? how do I answer this

Answer 3

I also know the m of angle 4 is 30 degrees I need to find the measure of angle 5 which is angle XZQ

Answer 4

Can someone draw this circle and help me? Please

Answer 5

this one?

Answer 6

yes please

Answer 7

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

Answer 8

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

Answer 9

how do we modify this?

Answer 10

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

Answer 11

you have it labeled correctly

Answer 12

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

Answer 13

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

Answer 14

A line from Q to Z as well

Answer 15

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

Answer 16

between XY with Q as the center Angle XQY is angle 1, Angle YQZ is angle 2 and Angle ZQX is angle 3

Answer 17

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

Answer 18

you have a prnt scrn button :)

Answer 19

Q is the center of the circle...

Answer 20

yes

Answer 21

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 :)

Answer 22

paint program

Answer 23

ok let me try this.. never did it before

Answer 24

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

Answer 25

start; accessories; paint is usually the path to take

Answer 26

start; programs; accessories; paint...

Answer 27

found it one moment

Answer 28

thats neat

Answer 29

it is aint it lol

Answer 30

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....

Answer 31

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

Answer 32

ok

Answer 33

ha mybe I sould have made it bigger

Answer 34

its good :)

Answer 35

so whats the question tat goes with this :)

Answer 36

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

Answer 37

Ha thanks LOL

Answer 38

Find the measures of those angles

Answer 39

ang1 = arc.yx

Answer 40

ang2 = arc.yz

Answer 41

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

Answer 42

not sure why proportions are in this

Answer 43

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

Answer 44

ang3 = arc.xz

Answer 45

yes to angle 1 yes to angle 2

Answer 46

yep to angle 3

Answer 47

ang5 = (180-arc.xz)/2

Answer 48

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

Answer 49

it was an odd number :(

Answer 50

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

Answer 51

ang5 = 20?

Answer 52

180 - 140 = 40/2 = 20 right?

Answer 53

ummm yes it looks like a smaller angle... I'm trying to see if angle 4 is working out... sorry ... slow motion over here... :)

Answer 54

180-120 = 60/2 = 30

Answer 55

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

Answer 56

xy = 100; yz = 120; zx = 140

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

Answer 57

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

Answer 58

all triangles from the center are isosoles; if youknow the inside angle the other two are (180-inside)/2 since they are equal angles

Answer 59

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

Answer 60

k

Answer 61

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

Answer 62

once you know the interior central angles; the other angles are equal in size; and all triangles add up to 180 degrees inside them

Answer 63

180-central angle = whats left over

whats left over/2 is the only thing they an be lol

Answer 64

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

Answer 65

:)

Answer 66

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

Answer 67

angle 1 would be 180 - xy/2?

Answer 68

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

Answer 69

ha the paint too!!!

Answer 70

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

Answer 71

there are no lines to determine angles associated with ang1

Answer 72

angle 1 comes out 40

Answer 73

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

Answer 74

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

Answer 75

ha oh boy.... its 100

Answer 76

yes; ang1 is 100 :)

Answer 77

Ok I should be good I understand, I think thats cause the angle is on the center... not in one of them triangles... right?

Answer 78

Angle 1I'm talking about...

Answer 79

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

Answer 80

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

Answer 81

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

Answer 82

completely makes sense!

Answer 83

you are a rock star!!!

Answer 84

:) thnx