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  • 26-02-2021
  • Mathematics
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find the values; is a parallelogram

find the values is a parallelogram class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 26-02-2021

9514 1404 393

Answer:

  (x, y, z) = (2, 31°, 60°)

Step-by-step explanation:

Opposite sides have the same length, so ...

  x + 8 = 10

  x = 2 . . . . . . . . subtract 8

__

Consecutive angles are supplementary, so ...

  (3y +10°) +(2y +15°) = 180°

  5y = 155° . . . . . . subtract 25°

  y = 31° . . . . . . . .divide by 5

__

Opposite angles are congruent, so ...

  z +17° = 2y +15°

  z = 2y -2° = 2(31°) -2°

  z = 60°

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