Question

given m || n, find the value of x.
(6x+14)°
(8x-8)°
answer attempt 1 out of 2
x =

Explanation:

Step1: Identify Angle Relationship

Since \( m \parallel n \), the two angles \( (6x + 14)^\circ \) and \( (8x - 8)^\circ \) are alternate exterior angles, so they are equal. Thus, we set up the equation:
\( 6x + 14 = 8x - 8 \)

Step2: Solve for \( x \)

Subtract \( 6x \) from both sides:
\( 14 = 2x - 8 \)

Add 8 to both sides:
\( 22 = 2x \)

Divide both sides by 2:
\( x = 11 \)

Answer:

\( x = 11 \)