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Helppppppppppppp please

Helppppppppppppp please-example-1

2 Answers

6 votes

Answer:

x=34, y=-28, z=-46

Explanation:

because opposite angles of parallelograms are congruent: -3y-3=81 => y=-28. because internal angles of quadrilateral sum to 360°: 81+-3(-28)-3+3x-3-2z+7=360 => 3x-2z=194 => z=3/2x-97. because opposite angles of parallelograms are congruent: -2z+7=3x-3. substitute z=3/2x-97: -2(3/2x-97)+7=3x-3 => x=34. z=3/2(34)-97=-46

User Mfalade
by
7.7k points
5 votes

Answer:

  • 34, - 28, - 53

Explanation:

Use of properties of the parallelogram:

  • Opposite angles are congruent
  • Adjacent angles are supplementary

Find x:

  • 3x - 3 + 81 = 180
  • 3x + 78 = 180
  • 3x = 102
  • x = 34

Find y:

  • - 3y - 3 = 81
  • - 3y = 84
  • 3y = - 84
  • y = - 28

Find z:

  • - (2z + 7) + 81 = 180
  • - 2z + 74 = 180
  • - 2z = 106
  • x = - 53
User Ticster
by
7.3k points

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