There is a pair of vertical angles whose measures are m∠1=106° and m∠2=(3x−75)° . What equation can you write to solve for x ?
Since vertical angles are congruent, we can write the equation:
m∠1 = m∠2
106° = 3x - 75°
Now, we can solve for x by isolating the variable:
106° + 75° = 3x
181° = 3x
Finally, we divide both sides by 3 to solve for x:
x = 181° / 3
Thus, the equation to solve for x is x = 60.33°.