Question

given m||n, find the value of x.
(3x+7)°
(x+19)°
answer attempt 2 out of 2

Explanation:

Answer:

Since \( m \parallel n \), the alternate exterior angles are equal. So we set up the equation:
\( 3x + 7 = x + 19 \)

Subtract \( x \) from both sides:
\( 2x + 7 = 19 \)

Subtract 7 from both sides:
\( 2x = 12 \)

Divide both sides by 2:
\( x = 6 \)

So the value of \( x \) is \( \boldsymbol{6} \).