# 8.5.2. Comparing the Measures of Angles of a Triangle

Given that

- A
- B
- C
- D

### Example

Given that

- A
- B
- C
- D

### Solution

If two angles of a triangle are equal in measure to two angles of
another triangle, then the triangles are similar. From the given figure,

Since

The sum of a triangle's angle measures is

For any triangle, if a side is longer than another side, then the angle opposite to the longer side is greater in measure than the
angle opposite to the shorter side. In

Since