two parallel lines are crossed by a transversal. what is the value of x? o x = 40 o x = 70 o x = 110 o x = 130

Explanation:

Step1: Identify angle - relationship

When two parallel lines are crossed by a transversal, corresponding angles are equal. The angle of (70^{\circ}) and the angle adjacent to (x^{\circ}) are corresponding angles, so the angle adjacent to (x^{\circ}) is (70^{\circ}).

Step2: Use linear - pair property

Since (x^{\circ}) and the (70^{\circ}) angle form a linear - pair (a straight - line), and the sum of angles in a linear - pair is (180^{\circ}). We have the equation (x + 70=180).

Step3: Solve for (x)

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

Answer:

(x = 110)