Question

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
Answer
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
Answered by GPT 3.5
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
Answered by GPT 3.5
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.