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  • 14-05-2020
  • Mathematics
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<A and <B are supplementary angles. If m<A= (8x-25)° and m <B=(7x-5)° , then find the measure of <B. answer asap?​

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devishri1977
devishri1977 devishri1977
  • 14-05-2020

Answer:

Step-by-step explanation:

∠A + ∠B = 180    {supplementary angles}

8x - 25 + 7x - 5 = 180    {bring the like terms together}

8x + 7x - 25 - 5 = 180   {add the like terms}

15x - 30 = 180    {add 30 to both the side}

15x = 180 +30

15x = 210          {divide both sides by 15}

15x/15 = 210/15

x = 14

∠B = 7x - 5 = 7*14 - 5

      = 98 - 5

 ∠B = 93°

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