Question

g.rlt2 angle pair relationships(non calculat
missing variables when given parallel lines
given lines are parallel, find the missing variables.
100
x=
y=

Explanation:

Step1: Find \(x\)

Since \(x\) and \(100^{\circ}\) are corresponding angles (when two parallel lines are cut by a transversal), \(x = 100^{\circ}\)

Step2: Find \(y\)

Since \(x\) and \(y\) are supplementary angles (they form a linear pair), \(y=180 - x\). Substitute \(x = 100\) into the equation: \(y = 180-100=80^{\circ}\)

Answer:

\(x = 100\), \(y = 80\)