tylermorse9015 tylermorse9015
  • 16-11-2020
  • Mathematics
contestada

Find the value of x so that L is parallel to M. State the converse used!


50 Points! please help and show work!

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abidemiokin
abidemiokin abidemiokin
  • 18-11-2020

Answer:

6 degrees

Step-by-step explanation

Find the diagram attached. In Line geometry, there is a theorem that states that the sum of the adjacent interior angles is 180 degrees. According to the diagram, the adjacent interior angles are 7x- 15 and 24x + 9.

The sum of this angles must give 180 degrees as shown;

7x-15 + 24x + 9 = 180

7x+24x-15+9 = 180

31x-6 = 180

31x = 180+6

31x = 186

x = 186/31

x = 6

Hence the value of x is 6 degrees

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