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Mathematics 16 Online
OpenStudy (sibunann):

Find the value of x. Diagram below. a.) x= 64 b.) x=86 c.) x= 99 d.) x=113

OpenStudy (sibunann):

OpenStudy (sibunann):

@Luigi0210 help please !

OpenStudy (1andrewalarcon1):

I can help here

OpenStudy (1andrewalarcon1):

Polygons usually have angle measures that add up to 360 degrees, and you are given a supplementary angle at the bottom composed of y and 116 which both angle measures add up to 180. So what do you think you should do first? @sibunann

OpenStudy (sibunann):

I honestly have no idea. I tried adding up all the angles and finding x from that equaling all the angles to 360 and y came out to be 47 but then once i did x is added up to some wingspanamyame number

OpenStudy (whpalmer4):

the sum of the interior angles of the polygon on the right must be 360 degrees. \[125+72+x+y=360\]right?

OpenStudy (whpalmer4):

you also know (or should know) that \[116+x=180\]

OpenStudy (sibunann):

so x is 64

OpenStudy (whpalmer4):

solve the second equation for \(x\) and substitute it in the first equation.

OpenStudy (whpalmer4):

actually it appears you only need to find \(x\) unless there is another part of this problem not shown here.

OpenStudy (sibunann):

y= 99 and x=64

OpenStudy (sibunann):

i only need to find x

OpenStudy (whpalmer4):

any question about why we could find \(x\) this way?

OpenStudy (retireed):

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