There r 2 vertical angles. Angle A is 72 and B is 3x + 6. Write and solve an equation for X.?

Answer 1

Vertical angles are equal, so we can set up the equation as follows:

\[ \text{Angle A} = \text{Angle B} \]

Given that Angle A is 72 degrees and Angle B is \(3x + 6\), we have:

\[ 72 = 3x + 6 \]

Now, let's solve for \(x\):

1. Subtract 6 from both sides:

\[ 72 - 6 = 3x \]

\[ 66 = 3x \]

2. Divide both sides by 3:

\[ x = \frac{66}{3} = 22 \]

So, the value of \(x\) is \(22\).