1. which angles are adjacent angles

2. find the sum of the interior angles of a nonagon

Lacking data.

1. Adjacent angles are angles that have a common vertex and a common side between them. In other words, they are angles that are next to each other.

2. To find the sum of the interior angles of a nonagon, we can use the formula:

Sum of interior angles = (n - 2) * 180 degrees

For a nonagon, n = 9:

Sum of interior angles = (9 - 2) * 180 degrees
= 7 * 180 degrees
= 1260 degrees

Therefore, the sum of the interior angles of a nonagon is 1260 degrees.

1. Adjacent angles are two angles that share a common vertex and a common side, but do not overlap. To determine which angles are adjacent angles, you need to examine the given figure or diagram.

For example, consider two lines intersecting each other. The angles formed on either side of the intersection point are adjacent angles. In the figure below, angles 1 and 2 are adjacent angles, as well as angles 2 and 3.

```
1
/ \
/ \
/___2___\
\ /
\ /
3
```

2. To find the sum of the interior angles of a nonagon, you need to use the formula:

Sum = (n - 2) * 180 degrees

In this case, a nonagon has nine sides (n = 9). Hence, using the formula:

Sum = (9 - 2) * 180 degrees
= 7 * 180 degrees
= 1260 degrees

So, the sum of the interior angles of a nonagon is 1260 degrees.