Question

find the value of x in the above figure.

a. 0 degrees
b. 10 degrees
c. 20 degrees
d. 30 degrees

Explanation:

Step1: Use the property of parallel lines

When two parallel lines \( m \) and \( l \) are cut by a transversal \( n \), the corresponding angles are equal. So, \( 4x + 10=5x - 10 \).

Step2: Solve the equation for \( x \)

Subtract \( 4x \) from both sides of the equation: \( 4x+10 - 4x=5x - 10-4x \), which simplifies to \( 10=x - 10 \).
Then add \( 10 \) to both sides: \( 10 + 10=x-10 + 10 \), so \( x = 20 \).

Answer:

C. 20 degrees