Question

what is the value of x?
an error has occurred. please enter a number.
x =
110°
110°

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. But here, we can also use the property that \(x\) and the \(110^{\circ}\) angle (not adjacent to it in the way of consecutive interior) are related. In fact, \(x\) and the \(110^{\circ}\) angle (the one not in the same - side as the other \(110^{\circ}\)) form a pair of angles such that \(x + 110^{\circ}=180^{\circ}\) (because the sum of angles on a straight line formed by the transversal and the non - parallel part of the figure is \(180^{\circ}\)).

Step2: Solve for \(x\)

Subtract \(110^{\circ}\) from both sides of the equation \(x + 110^{\circ}=180^{\circ}\). So, \(x=180 - 110\).

Answer:

\(70\)