Question

find the value of x so that ℓ || m.
(3x + 10)°
(4x − 10)°
x =

Explanation:

Step1: Identify the relationship

Since \( \ell \parallel m \) and \( k \) is a transversal, the alternate - interior angles are equal. So, \( 3x + 10=4x - 10 \).

Step2: Solve for \( x \)

Subtract \( 3x \) from both sides of the equation:
\( 3x+10 - 3x=4x - 10 - 3x \)
Simplify to get \( 10=x - 10 \).
Then add 10 to both sides:
\( 10 + 10=x-10 + 10 \)
Which gives \( x = 20 \).

Answer:

20