Question

The measures of the exterior angles of an octagon are x°, 2x°, 3x°, 4x°, 6x°, 7x°, 8x°, and 9x°. Find the measure of the largest exterior angle.

Answer 1

Answer:

243°

Step-by-step explanation:

We know that,

Sum of all angles of a polygon of n sides

= (n-2)180°

so,

The given angle is of octagonal, so

n=8

Now,

x+2x+3x+4x+6x+7x+8x+9x = (8-2)180

40x = 6×180

x = 6×180/40 = 27°

the largest exterior angel = 9x°

= 9×27 = 243°