Answer:
see explanation
Step-by-step explanation:
(6)
The opposite sides of a parallelogram are congruent , so
10x + 6 = 4x + 18 ( subtract 4x from both sides )
6x + 6 = 18 ( subtract 6 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
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(7)
The opposite angles of a parallelogram are congruent , so
9z - 42 = 5z + 8 ( subtract 5z from both sides )
4z - 42 = 8 ( add 42 to both sides )
4z = 50 ( divide both sides by 4 )
z = 12.5
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(8)
The sum of the interior angles of a quadrilateral = 360°
Subtract the sum of the 3 given angles from 360° for 4th angle
4th angle = 360° - (49 + 111 + 133)° = 360° - 293° = 67°
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(9)
Opposite sides are congruent , so
XZ = WY = 22
YX = ZW = 31
