What is the measure of XYZ ?

- anonymous

What is the measure of XYZ ?

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- schrodinger

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- anonymous

Picture below

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- anonymous

Just clarify if i have to use x = 1/2(mAB +mCD) to solve it

- mathstudent55

Yes, here it is (1/2)(mVW + m XZ), with VW = 43, and XZ = 94

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## More answers

- anonymous

Thanks, now i feel more confident about doing these types of problems.

- mathstudent55

Can we go back to your previoous problem of this type? I misread it.

- anonymous

Of course.

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- mathstudent55

I saw the Y inside the circle and was thinking of the measure of the angle that has y inside it. I misread the problem.

- mathstudent55

This is what your problem looks like.
|dw:1370308719629:dw|

- anonymous

Got it

- mathstudent55

You are asked to find the measure of angle XYZ.
|dw:1370308846808:dw|

- anonymous

I'm going be mad if i did have to end up dividing the outer degree by 2

- anonymous

Was my answer suppose to be 43 degrees ?

- mathstudent55

This angle is found directly using the formula we used:
m

- mathstudent55

The answer is the measure of anfle XYZ is half the sum of the two arcs, so m

- anonymous

Oh it was x instead of y

- mathstudent55

|dw:1370309081324:dw|

- anonymous

It's fine we are only human.

- mathstudent55

Right. All we were looking for was what I called x. And x was 65.

- anonymous

What about for this

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- anonymous

I got 142 as the answer

- mathstudent55

We are looking for x.
|dw:1370309272333:dw|

- mathstudent55

|dw:1370309390682:dw|

- mathstudent55

You are correct.

- anonymous

I have a two more i need help with is that fine ?

- mathstudent55

sure

- anonymous

I get confused right here is the outer degree the same as the other side or is there something i have to do to get the result ?

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- mathstudent55

You need again the formula we've been using.
42 = (1/2)(38 + mXY)

- anonymous

Are you 100% Positive ?

- mathstudent55

yes

- mathstudent55

Did you get an answer?

- anonymous

I divide 38 ? then i subtract the rest from 42 ?

- anonymous

I did but i'm not sure i'm right

- anonymous

mXY = 23

- mathstudent55

42 = (1/2)(38 + mXY)
First, multiply both sides by 2 to get rid of the the 1/2 on the right side:
84 = 38 + mXY
Now subtract 38 from both sides

- anonymous

46

- mathstudent55

right

- mathstudent55

I have to go soon. If you post your next question quickly. I'll try to help you.

- anonymous

I thought it was going to be different but it's similar to the first one, thank you so much though and go enjoy your life (: .

- mathstudent55

lol
Thanks, and you're welcome.
If you have any questions when I am not on, post them and tag me and I'll try to help you.

- mathstudent55

bye

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