question given m||n, find the value of x. answer attempt 1 out of 2 x =

question given m||n, find the value of x. answer attempt 1 out of 2 x =

question given m||n, find the value of x. answer attempt 1 out of 2 x =

Answer

Explanation:

Step1: Identify angle - relationship

Since (m\parallel n), the two given angles ((5x - 14)^{\circ}) and ((4x + 4)^{\circ}) are corresponding angles and are equal. So we set up the equation (5x-14 = 4x + 4).

Step2: Solve the equation for (x)

Subtract (4x) from both sides of the equation: (5x-4x-14=4x - 4x+4), which simplifies to (x-14 = 4). Then add 14 to both sides: (x-14 + 14=4 + 14).

Answer:

(x = 18)