Question

properties of parallel lines
guided practice
find the value of y.
a. 45
b. 90
c. 115
d. 65

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \(y+(y - 50)=180\).

Step2: Simplify the equation

Combine like terms: \(2y-50 = 180\).

Step3: Solve for \(y\)

Add \(50\) to both sides: \(2y=180 + 50\), \(2y=230\). Then divide both sides by \(2\): \(y=\frac{230}{2}=115\).

Answer:

C. \(115\)