The missing values in the figure are:
Angle MNO = 15 degrees
MN = 135 units
WX = 12 units
YZ = 8 units
To find the missing values in the figure, we can use the fact that the quadrilaterals WXYZ and MNOP are congruent. This means that all of their corresponding sides and angles are equal.
We can start by finding the missing angle in quadrilateral WXYZ. We know that the sum of the angles in a quadrilateral is 360 degrees, so we can subtract the angles that we know to find the missing angle:
360 degrees - 120 degrees - 90 degrees - 135 degrees = 15 degrees
Therefore, angle WZX = 15 degrees.
Now, we can use the fact that the corresponding angles in congruent quadrilaterals are equal to find the missing angle in quadrilateral MNOP:
Angle WZX = angle MNO
So, angle MNO = 15 degrees.
Finally, we can use the fact that the corresponding sides in congruent quadrilaterals are equal to find the missing side lengths:
WZ = MN = 135 units
WX = MP = 12 units
YZ = NO = 8 units
Therefore, the missing values in the figure are:
Angle MNO = 15 degrees
MN = 135 units
WX = 12 units
YZ = 8 units