The hiking trails create a triangle as shown below. Given the angle measures of the triangle formed, determine the longest trail.

The hiking trails create a triangle as shown below. Given the angle measures of the triangle formed, determine the shortest trail.

Three stages at a music festival are arranged in a triangle. The distances between the centers of each stage are given:
Stage A and Stage B: 100 yards
Stage B and Stage C: 135 yards
Stage C and Stage A: 210 yards
List the interior angle measures formed at the center of each stage in descending order.