Question

The measures of the exterior angles of a pentagon are x°x°, 2x°2x°, 4x°4x°, 8x°8x°, and 9x°9x°. Find the measure of the largest exterior angle.

Answer 1

Answer:

for Pentagon sum of all exterior angles=360/5

so x+2x+4x+8x=360/5

15x=72

x= 72/15

so largest exterior angle=(72×8)/15=38.4,°