Question

what is the value of x?
20
35
60
70
$(x + 40)^circ$
$(3x)^circ$

Explanation:

Step1: Identify vertical angles

The angles $(x+40)^\circ$ and $3x^\circ$ are vertical angles, so they are equal.

Step2: Set up equation

$x + 40 = 3x$

Step3: Solve for x

Subtract $x$ from both sides:
$40 = 2x$
Divide both sides by 2:
$x = \frac{40}{2} = 20$

Answer:

20