There r 2 vertical angles. Angle A is 72 and B is 3x + 6. Write and solve an equation 4 X.?

Answer 1

Vertical angles are equal, which means angle A is equal to angle B. Given:

• Angle A = 72°
• Angle B = 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, \( x = 22 \).

If you want to find \( 4x \):

\[ 4x = 4 \times 22 = 88 \]

Thus, \( 4x = 88 \).