The measure of the angle z is equal to the angle x. The measure of the angle z is 137 degrees.
What are the angles formed by intersecting line?
When the two lines crosses each other from a point of Intersection some angles formed between them.
Opposite angles formed by the interacting lines are equal.
The image is attached below to show this property.
Given information-
The lines intersect each other.
One of the angle made between them is equal to the 43 degrees.
As the two lines shown in the given image are intersecting each other. Thus the angle y will be opposite to the angle 43 by the property of intersecting line angle. Hence,
[tex]m\angle y=43[/tex]
Thus the measure of the angle y is 43 degrees.
Similarly the measure of the angle z is equal to the angle x. Thus,
[tex]m\angle z=m\angle x[/tex]
For the two lines the, sum of all the angles made by them is equal to the twice the 180 degrees. Thus,
[tex]m\angle x+m\angle y+m\angle z+43=180+180[/tex]
Put the values as,
[tex]m\angle z+43+m\angle z+43=360\\2m\angle z=360-43-43\\2m\angle z=274\\m\angle z=137^o[/tex]
Hence, the measure of the angle z is 137 degrees.
Learn more about the angles formed by intersecting line here;
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