Question

given ( l parallel m parallel n ), find the value of ( x ).
( (8x + 11)^circ )
( (7x + 14)^circ )

Explanation:

Step1: Identify the relationship

Since \( l \parallel m \parallel n \), the alternate - exterior or corresponding angles (depending on the transversal) should be equal. Looking at the angles \( (8x + 11)^{\circ} \) and \( (7x+14)^{\circ} \), because of the parallel lines, these two angles are equal. So we can set up the equation:
\( 8x + 11=7x + 14 \)

Step2: Solve for x

Subtract \( 7x \) from both sides of the equation:
\( 8x-7x + 11=7x-7x + 14 \)
\( x+11 = 14 \)

Then subtract 11 from both sides:
\( x+11 - 11=14 - 11 \)
\( x = 3 \)

Answer:

\( x = 3 \)