Question

The measure of the exterior angles of an octagon are 2x, 3x, 4x, 5x, 6x, 7x, 8x, and 10x. Find the measure of the largest exterior angle.

Answer 1

Step-by-step explanation:

The sum of the exterior angles of a polygon is 360 degrees. From the information given, the exterior angles of the octagon are 2x, 3x, 4x, 5x, 6x, 7x, 8x, and 10x. This means that

2x + 3x + 4x + 5x + 6x + 7x + 8x + 10x = 360

45x = 360

x = 360/45

x = 8

The measure of the largest exterior angle = 10x = 10 * 8

measure of the largest exterior angle = 80 degrees