AndrewJ9723528847 AndrewJ9723528847
  • 08-10-2020
  • Mathematics
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In the figure, m∠1=(2x+40)° and m∠8=(12x−20)° . PLEASE HELP

For what value of x is m∥n ?

Enter your answer in the box.

x =

In the figure m12x40 and m812x20 PLEASE HELP For what value of x is mn Enter your answer in the box x class=

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billgkgk
billgkgk billgkgk
  • 09-10-2020

Answer:   x = 6

Step-by-step explanation:

Angles 1 and 8 are alternate exterior angles, so they are equal.

so you can create an equation to solve for x

12x−20 = 2x+40  Subtract 2x from both sides. Add 20 to both sides

10x = 60

x = 6

if you need the  m∠1, Substitute 6 for x.  (2x+40)°  2(6) +40= 12+40 m∠1= 52°

m∠8=(12x−20)°   12(6) - 20 = 72-20  m∠8 = 52°

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