lol2770 lol2770
  • 13-09-2020
  • Mathematics
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SOMEONE HELP I NEED THE ANSWERS TO THIS PROBLEM

SOMEONE HELP I NEED THE ANSWERS TO THIS PROBLEM class=

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devishri1977
devishri1977 devishri1977
  • 13-09-2020

Answer:

Step-by-step explanation:

∠6 = 45     {Vertically opposite angles are equal}

∠6 + 5x + 35 = 180  {Co interior angles}

45 + 5x + 35 = 180  {add like terms}

80 + 5x = 180

5x = 180 - 80

5x = 100

x = 100/5

x = 20

5x + 35 =  5*20 + 35 = 100 + 35 = 135

∠8 = 5x + 35   { Corresponding angles}

3) ∠8 = 135

4) ∠ 3 = ∠6    {Alternate interior angles are equal}

∠3 = 45

5) ∠6 = 45

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