Score: $$ 5 / 8 $$ Penalty:none Question The measures of the exterior angles of an octagon are $$ x^{\circ}, 3 x^{\circ}, 4 x^{\circ}, 5 x^{\circ}, 6 x^{\circ} $$, $$ 7 x^{\circ}, 9 x^{\circ} $$, and $$ 10 x^{\circ} $$. Find the measure of the largest exterior angle.

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1. The sum of the exterior angles of any polygon is $$360^\circ$$. For the given octagon, the angles are
   $$
   x^\circ,\, 3x^\circ,\, 4x^\circ,\, 5x^\circ,\, 6x^\circ,\, 7x^\circ,\, 9x^\circ,\, 10x^\circ.
   $$

2. Adding these angles gives:
   $$
   x + 3x + 4x + 5x + 6x + 7x + 9x + 10x = 45x.
   $$

3. Set the sum equal to $$360^\circ$$:
   $$
   45x = 360.
   $$

4. Solve for $$x$$ by dividing both sides by 45:
   $$
   x = \frac{360}{45} = 8.
   $$

5. The largest exterior angle is $$10x^\circ$$:
   $$
   10x = 10 \times 8 = 80.
   $$

The measure of the largest exterior angle is $$80^\circ$$.
The largest exterior angle is $$80^\circ$$.

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The measures of the exterior angles of an octagon are ,
, and . Find the measure of the largest exterior angle.

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Score: Penalty:none Question The measures of the exterior angles of an octagon are , , and . Find the measure of the largest exterior angle.