Question

g
m
(3x + 10)°
i
j
l
n
k
(5x - 30)°
h
x =

Explanation:

Step1: Identify the relationship

Since lines \(JI\) and \(LK\) are parallel (they are both horizontal and cut by a transversal \(GH\)), the corresponding angles \((3x + 10)^\circ\) and \((5x - 30)^\circ\) are equal. So we set up the equation:
\(3x + 10 = 5x - 30\)

Step2: Solve 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:

\(20\)