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x = 105 because it is an alternative angle of A
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Answer:
Properties of parallelograms
- Opposite sides are congruent (AB = DC).
- Opposite angels are congruent (D = B).
- Consecutive angles are supplementary (A + D = 180°).
- If one angle is right, then all angles are right.
- The diagonals of a parallelogram bisect each other.
- Each diagonal of a parallelogram separates it into two congruent triangles.
Now,
x=105 (Opposite angles are congruent/same in measure)
x+y=180 (Consecutive angles are supplementary)
y=180-x
y=180-105
y=75
y+z= 180 (Linear pair)
z=180-y
z=180-75
z= 105
This is your answer.
Hope this helps you!
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