Question

Helppppppppppppp please

Answer 1

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

Answer 2

• 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