SOLUTION: If the exterior angles of a convex octagon are x+13, 2x-1, 2x+6, 2x+12, 2x-17, 3x-4, 3x-10, and 4x, calculate the smallest of the eight angles. choices A) 19 degrees B) 21 deg

Question 35553: If the exterior angles of a convex octagon are x+13, 2x-1, 2x+6, 2x+12, 2x-17, 3x-4, 3x-10, and 4x, calculate the smallest of the eight angles.
choices
A) 19 degrees
B) 21 degrees
C) 32 degrees
D) 37 degrees
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If the exterior angles of a convex octagon are x+13, 2x-1, 2x+6, 2x+12, 2x-17, 3x-4, 3x-10, and 4x, calculate the smallest of the eight angles.
The sum of these angles must be 360
EQUATION
x+13+2x-1+2x+6+2x+12+2x-17+3x-4+3x-10+4x=360
19x-1=360
19x=361
x=19
2x-17=21 degrees (smallest of the eight angles)
Cheers,
Stan H.
RELATED QUESTIONS
If the exterior angles of a convex octagon are x + 13, 2x - 1, 2x + 6, 2x + 12, 2x - 17,... (answered by stanbon)

If the exterior angles of a convex octagon are x+13, 2x-1, 2x+6, 2x+12, 2x-17, 3x-4,... (answered by Alan3354)

I have been stuck on these two problems for like an hour and a half. Please Help Me! (answered by jim_thompson5910)

Hi, I have been having trouble on my math homework on this question and I was wondering... (answered by stanbon)

if the exterior angles of a convex polygon are x/13, 2x-1, 2x/6,2x+12,2x-17,3x-4,3x-10... (answered by solver91311)

How many interior angles does a undecagon have? A. 7 B. 9 C. 11 D. 110 How... (answered by longjonsilver)

Can you please help me out on this? I've been looking around in my textbook, trying to... (answered by Edwin McCravy)

8)Two angles with measures os (2x + 7) and (3x + 3) are complementary. Find x x = 6 (answered by dkppathak)

In a convex octagon, three of the exterior angles each have a measure of x�. The other... (answered by macston)