Question

(practice) lines x and y are parallel.
write an equation that re
b + g = 180 because
they are alternate interior angles
they are corresponding angles
they are vertical angles
they form a linear pair.
d + c = 180, as a linear pair. so you can substitute b for d since they are corresponding angles and therefore congruent
d + e = 180, as a linear pair. so you can substitute b for d since they are corresponding angles and therefore congruent

Explanation:

Step1: Identify the relationship between angles

Since lines \(x\) and \(y\) are parallel, and we are looking at angles \(b\) and \(g\).

Step2: Use the property of linear - pair

Angles \(b\) and \(g\) form a linear pair. The sum of angles in a linear pair is \(180^{\circ}\).

Answer:

\(b + g=180\)