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Mathematics 16 Online
OpenStudy (anonymous):

Hep! will become fan!

OpenStudy (anonymous):

OpenStudy (anonymous):

Im pretty sure that 5x+5 = 6x+10

OpenStudy (anonymous):

No, the two are supplementary angles thus 5x + 5 + 6x + 10 = 180. Solving for x, you get x = 15. You also know that xyz the angle is equal to the angle yzw. so you get that angle yzw = 5x + 5 = 80

OpenStudy (ryan123345):

yup...

OpenStudy (anonymous):

okay, so what would be the measure of YZW?

OpenStudy (anonymous):

@khoala4pham

OpenStudy (anonymous):

@ryan123345 can you help me?

OpenStudy (ryan123345):

ok

OpenStudy (ryan123345):

So plain and simple

OpenStudy (anonymous):

I answered that already? It's 80...

OpenStudy (anonymous):

yeah?

OpenStudy (ryan123345):

its telling u X is 6x+10

OpenStudy (ryan123345):

And Y is 5x+5

OpenStudy (ryan123345):

U are looking for z

OpenStudy (ryan123345):

They are supplementary so u can say that...

OpenStudy (anonymous):

@khoala4pham yeah but we were talking about Angle WXY and angle XYZ measures not angle YZW??

OpenStudy (ryan123345):

\[6x+10+5x+5=180\]

OpenStudy (anonymous):

yes.

OpenStudy (ryan123345):

\[11x+15=180\]

OpenStudy (anonymous):

I get that whole part. But then we need to find YZW?

OpenStudy (anonymous):

Yes, but by definition of isoceles trapezoid, yzw has a measure equal to that of xyz. We already know that xyz has a measure of 80 (5(75) + 5 = 80) therefore, yzw has angle measure 80, too.

OpenStudy (anonymous):

oh okay, thank you!

OpenStudy (anonymous):

5*15 + 5 ** typo.

OpenStudy (ryan123345):

Yea so u plug in x to 5x+5 and whatever u get is equal to the one u are trying to find

OpenStudy (ryan123345):

x=15 btw so ur answer iss 80 :)

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