Pentagon RSTUV is circumscribed about a circle. Solve for x for RS = 10, ST = 10,
TU = 9, UV = 12, and VR = 14. The figure is not drawn to scale. This is the link to the image http://tinypic.com/view.php?pic=2igbmvo&s=5

Question

Pentagon RSTUV is circumscribed about a circle. Solve for x for RS = 10, ST = 10,
TU = 9, UV = 12, and VR = 14. The figure is not drawn to scale. This is the link to the image http://tinypic.com/view.php?pic=2igbmvo&s=5

mathstudent55 · Answer

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mathstudent55 · Answer

x + d = 10
c + d = 10
x + d = c + d
x = c

mathstudent55 · Answer

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mathstudent55 · Answer

a + x = 14
a + b = 12
2a + x + b = 26
but x + b = 9, so
2a + 9 = 26
2a = 17
a = 8.5
Since a + x = 14, then
8.5 + x = 14, so
x = 5.5

anonymous · Answer

Thank you so much I totally understand it now!

mathstudent55 · Answer

Great. You're welcome.