Question

given $m\parallel n$, find the value of x.
(6x+29)°
(8x-7)°
answer attempt 1 out of 2
$x = $

Explanation:

Step1: Identify Angle Relationship

Since \( m \parallel n \), the two angles \( (6x + 29)^\circ \) and \( (8x - 7)^\circ \) are alternate exterior angles, so they are equal. Thus, \( 6x + 29 = 8x - 7 \).

Step2: Solve for \( x \)

Subtract \( 6x \) from both sides: \( 29 = 2x - 7 \).
Add 7 to both sides: \( 36 = 2x \).
Divide by 2: \( x = 18 \).

Answer:

\( x = 18 \)