mrythilgfbv mrythilgfbv
  • 05-06-2021
  • Mathematics
contestada

∠DEF and ∠FEG are supplementary. m∠DEF=(3x+5)°, and m∠FEG=(2x)°. What is the measure of ∠DEF?

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 05-06-2021

Answer:

DEF = 110

Step-by-step explanation:

Supplementary angles add to 180

3x+5  +2x = 180

Combine like terms

5x +5 = 180

Subtract 5 from each side

5x = 175

Divide each side by 5

5x/5 = 175/5

x =35

DEF = 3x+5

     = 3*35 +5

    = 105+5

   = 110

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