There is a pair of verticle angles whose measures are m<1=160 and m<2=(3x-75) what is the equation can you write to solve for x?
To solve for x, we can use the property that vertical angles are congruent. The measure of one pair of vertical angles is given by m<1=160, and the measure of the other pair is given by m<2=3x-75.
Since vertical angles are congruent, we can set up an equation:
m<1 = m<2
160 = 3x-75
To solve for x, we can simplify the equation:
160 + 75 = 3x
235 = 3x
Now, we can solve for x by dividing both sides of the equation by 3:
235/3 = x
x ≈ 78.33
So, the equation to solve for x is:
3x = 235