in a pair of supplementary angles,one angle is three half times the other .mfind their measures
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Hey MATE!
Let one angle be x°
Therefore other angle is =
![3 \frac{1}{2} x = \frac{7}{2} x 3 \frac{1}{2} x = \frac{7}{2} x](https://tex.z-dn.net/?f=3+%5Cfrac%7B1%7D%7B2%7D+x+%3D++%5Cfrac%7B7%7D%7B2%7D+x)
There sum is 180.
![\frac{7}{2} x + x = 180 \\ \frac{7x + 2x}{2} = 180 \\ \frac{9x}{2} = 180 \\ 9x = 360 \\ x = 40 \\ \\ \frac{7x}{2} = \frac{7 \times 40}{2} \\ 140 \frac{7}{2} x + x = 180 \\ \frac{7x + 2x}{2} = 180 \\ \frac{9x}{2} = 180 \\ 9x = 360 \\ x = 40 \\ \\ \frac{7x}{2} = \frac{7 \times 40}{2} \\ 140](https://tex.z-dn.net/?f=+%5Cfrac%7B7%7D%7B2%7D+x+%2B+x+%3D+180+%5C%5C++%5Cfrac%7B7x+%2B+2x%7D%7B2%7D++%3D+180+%5C%5C++%5Cfrac%7B9x%7D%7B2%7D++%3D+180+%5C%5C+9x+%3D+360+%5C%5C+x+%3D+40+%5C%5C++%5C%5C++%5Cfrac%7B7x%7D%7B2%7D++%3D++%5Cfrac%7B7+%5Ctimes+40%7D%7B2%7D++%5C%5C+140+)
Hope it helps #))
Let one angle be x°
Therefore other angle is =
There sum is 180.
Hope it helps #))
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