Question

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, \( 4x = 88 \).