Question

solve for x.

x =

Explanation:

Step1: Use the property of vertical angles

Since \( JI\parallel LK \), the angles \( (3x + 10)^{\circ} \) and \( (5x-30)^{\circ} \) are congruent (corresponding angles). So, \( 3x + 10=5x - 30 \).

Step2: Solve the equation for \( x \)

Subtract \( 3x \) from both sides: \( 10 = 2x-30 \).
Add \( 30 \) to both sides: \( 40=2x \).
Divide both sides by \( 2 \): \( x = 20 \).

Answer:

\(20\)