There is a pair of vertical angles whose measures are m angle 1 = 106 degrees and m angle 2 = 3x - 75 what equation can you write to solve for x
Vertical angles are formed by two intersecting lines and are congruent. Therefore, to solve for x, we can set the measures of the vertical angles equal to each other:
106 = 3x - 75
3x degrees - 75 degrees = 106
3x degrees - 75 degrees - 106 degrees = 180 degrees
3x degrees - 75 degrees + 106 degrees = 90 degrees
3x degrees - 75 degrees + 106 degrees = 180 degrees
I apologize, but your equations are incorrect. We should only consider the equation we had initially:
106 = 3x - 75
To solve for x, we can start by isolating the variable. Adding 75 to both sides:
106 + 75 = 3x
181 = 3x
Finally, dividing both sides by 3:
181/3 = x
So the equation to solve for x is x = 181/3.