Question

Use the triangle sum theorem to write out an equation and solve for x. A: 2x B: x + 12 C: 96 (enter final answer-number only ) x = what

Answer 1

According to the triangle sum theorem, the sum of the angles in a triangle is equal to 180 degrees. Given the angles as follows:

- A = 2x
- B = x + 12
- C = 96

We can set up the equation:

\[
2x + (x + 12) + 96 = 180
\]

Now, we can simplify and solve for x:

1. Combine like terms:

\[
2x + x + 12 + 96 = 180
\]
\[
3x + 108 = 180
\]

2. Subtract 108 from both sides:

\[
3x = 180 - 108
\]
\[
3x = 72
\]

3. Divide by 3:

\[
x = \frac{72}{3}
\]
\[
x = 24
\]

So, the final answer is:

24