Question

what is the value of x? x = ? (with an image of two parallel lines cut by a transversal, showing an angle of 110° and angle x°)

Explanation:

Step1: Identify angle relationship

The two lines are parallel, and the transversal creates same - side interior angles (or supplementary angles in this case) with the given \(110^{\circ}\) angle and \(x^{\circ}\) angle.

Step2: Use supplementary angles property

Supplementary angles add up to \(180^{\circ}\). So we have the equation \(x + 110=180\).

Step3: Solve for \(x\)

Subtract \(110\) from both sides of the equation: \(x = 180 - 110=70\).

Answer:

70