3. There are 2 vertical angles. Angle A is 72 and B is 3x + 6. Write and solve an equation for x.? Show your work
Since vertical angles are congruent, we can set up the equation:
A = B
72 = 3x + 6
To solve for x, we need to isolate it on one side of the equation.
Subtracting 6 from both sides:
72 - 6 = 3x + 6 - 6
66 = 3x
Dividing both sides by 3:
66/3 = 3x/3
22 = x
Therefore, the value of x is 22.