Question

what is the value of x?
20
35
60
70

Explanation:

Step1: Identify Vertical Angles

Angles \((x + 40)^\circ\) and \((3x)^\circ\) are vertical angles, so they are equal. Thus, we set up the equation:
\(x + 40 = 3x\)

Step2: Solve for \(x\)

Subtract \(x\) from both sides:
\(40 = 3x - x\)
\(40 = 2x\)

Divide both sides by 2:
\(x = \frac{40}{2}\)
\(x = 20\)

Answer:

20