Question

Largest angle
X + 2x -2+2x-8=180

Answer 1

To find the largest angle in the equation \(X + 2x - 2 + 2x - 8 = 180\), we first need to simplify the equation:

1. Combine like terms:
\[
X + 2x + 2x - 2 - 8 = 180
\]
\[
(1x + 2x + 2x) - 10 = 180
\]
\[
5x - 10 = 180
\]

2. Next, add 10 to both sides to isolate the term with \(x\):
\[
5x - 10 + 10 = 180 + 10
\]
\[
5x = 190
\]

3. Now, divide both sides by 5 to solve for \(x\):
\[
x = \frac{190}{5}
\]
\[
x = 38
\]

Now that we have the value of \(x\), we can substitute it back into the terms to find the angles:

- The angles represented in the original equation were:
- \(X\) (which is \(x\))
- \(2x\)
- \(2x - 2\)
- \(2x - 8\)

Calculating each angle using \(x = 38\):

1. \(X = 38\)
2. \(2x = 2(38) = 76\)
3. \(2x - 2 = 76 - 2 = 74\)
4. \(2x - 8 = 76 - 8 = 68\)

Now, we have the angles:
- \(38\)
- \(76\)
- \(74\)
- \(68\)

Among these, the largest angle is:

\[
\text{Largest angle} = 76
\]

Therefore, the largest angle is **76 degrees**.