Question

using parallel lines find the values of x and y. explain your reasoni 16. 130° x° y°

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. The angle of 130° and \(x\) are vertical angles. So \(x = 130\).

Step2: Use linear - pair property

The sum of angles in a linear pair is 180°. Since \(x\) and \(y\) form a linear pair, and \(x = 130\), then \(y=180 - x\). Substituting \(x = 130\) into the equation, we get \(y = 180-130=50\).

Answer:

\(x = 130\), \(y = 50\)