JaymarieZ353027 JaymarieZ353027
  • 25-10-2022
  • Mathematics
contestada

Find the value of X and each arc measurex =mDE =mEF = mDFG =

Find the value of X and each arc measurex mDE mEF mDFG class=

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JossalynN379457 JossalynN379457
  • 25-10-2022

Arc EF + arc FG = 180 ( Reason: GE is a straight line)

[tex]\begin{gathered} x-3+12x-25=180 \\ 13x-28=180 \\ 13x=180\text{ + 28} \\ 13x=208 \\ \text{Divide both sides by 13},\text{ we get,} \\ x\text{ =}\frac{208}{13}=16 \end{gathered}[/tex]

Arc DE = Arc GF = 12x - 25 = 12(16) - 25 = 192 - 25 = 167 degrees

Arc EF = x -3 = 16 - 3 = 13 degrees

Arc DFG = arc DE + arc EF + arc FG = 167 + 13 + 167 = 347 degrees

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