There is a pair of vertical angles whose measures are m∠1=106° and m∠2=(3x−75)°
To find the value of x, we can set the measures of the vertical angles equal to each other and solve for x.
m∠1 = m∠2
106° = (3x - 75)°
To solve for x, we can first add 75 to both sides of the equation:
106° + 75° = 3x°
181° = 3x°
Next, we can divide both sides of the equation by 3:
181°/3 = x°
x = 60.33°
Therefore, the value of x is approximately 60.33°.