Respuesta :
Answer:
x = z
x + y = 180°
Step-by-step explanation:
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The equations that would guarantee that lines p and q are parallel are;
x = z
x + y = 180°
The image showing the lines p and q as well as the angles x, y and z can be found in the link at the end of this answer.
From the image given;
We see that a transverse line cuts across the two parallel lines p and q. Thus;
We can see that x and z are corresponding angles and as such, we can say that; x = z.
Secondly, we can see that y and z are supplementary angles because they form a straight line and sum of angles that form a straight is 180°.
Thus; y + z = 180°
Since x = z, then by substitution property of equality, we can say that;
x + y = 180°
Read more at; https://brainly.com/question/13128119
