Question

what is the value of x?

an error has occurred. please enter a number.

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines are cut by a transversal, corresponding angles are equal. Here, the angle of \(85^{\circ}\) and the angle adjacent to \(x^{\circ}\) (on the same side of the transversal) are corresponding angles. So the angle adjacent to \(x^{\circ}\) is \(85^{\circ}\).

Step2: Use the linear - pair property

Since \(x\) and the \(85^{\circ}\) angle form a linear pair (they are adjacent angles on a straight line), we know that \(x + 85=180\) (because the sum of angles in a linear pair is \(180^{\circ}\)).

Step3: Solve for \(x\)

Subtract \(85\) from both sides of the equation \(x + 85=180\). So \(x=180 - 85\).

Answer:

\(95\)