camilor9 camilor9
  • 22-10-2021
  • Mathematics
contestada

If m<6 = 7x -36 and m<9 = 5x + 12, what is the value of angle 11 ?

If mlt6 7x 36 and mlt9 5x 12 what is the value of angle 11 class=

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devishri1977
devishri1977 devishri1977
  • 24-10-2021

Answer:

Step-by-step explanation:

∠8 = ∠6

∠8 = 7x - 36

∠8 +∠9 = 180   {Linear pair}

7x - 36 + 5x + 12 = 180

7x + 5x - 36 + 12 = 180

   12x  - 24 = 180

            12x = 180 + 24

           12x   = 204

               x = 204/12

x = 17

∠6 = 7x - 36  = 7*17 - 36 = 119 - 36 = 83

∠11 = ∠6    {Vertically opposite angles}

∠11 = 83

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