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?

Answer 1

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