two parallel lines are crossed by a transversal. what is the value of x? o x = 12 o x = 14 o x = 22 o x = 24…

two parallel lines are crossed by a transversal. what is the value of x? o x = 12 o x = 14 o x = 22 o x = 24 (5x + 5)° 115°

two parallel lines are crossed by a transversal. what is the value of x? o x = 12 o x = 14 o x = 22 o x = 24 (5x + 5)° 115°

Answer

Explanation:

Step1: Identify angle - relationship

When two parallel lines are crossed by a transversal, corresponding angles are equal. The angle ((5x + 5)^{\circ}) and the (115^{\circ}) angle are corresponding angles, so (5x+5 = 115).

Step2: Solve the equation for (x)

Subtract 5 from both sides of the equation: (5x=115 - 5), so (5x = 110).

Step3: Isolate (x)

Divide both sides of the equation (5x = 110) by 5: (x=\frac{110}{5}=22).

Answer:

(x = 22)