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The unknown angles in the intersecting lines are as follows:
When lines intersect , angle relationships are formed such as linear angles, vertically opposite angles etc.
The angle relationships can be used to find the angles x , y and z as follows:
y = 124 degrees (vertically opposite angles)
Vertically opposite angles are congruent to each other.
Therefore,
x ≅ y (vertically opposite angles)
x = 180 - 124(sum of angles on a straight lines)
x = 56 degrees
Hence,
z = 56 degrees
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