there are two vertical angles angle A is 72 and B is 3x + 6 write and solve an equation for x

Answer 1

Vertical angles are angles opposite each other when two lines cross. They are always equal in measure. Thus, if angle A is 72 degrees and angle B is \(3x + 6\), we can set up the equation:

\[ 72 = 3x + 6 \]

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

1. Subtract 6 from both sides: \[ 72 - 6 = 3x \] \[ 66 = 3x \]

2. Divide both sides by 3: \[ x = \frac{66}{3} \] \[ x = 22 \]

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