The measures of 5 of the interior angles of a hexagon are: 130°, 120°, 80°, 160°, and 155°.
what is the measure of the largest exterior angle?
a)100°
b)105°
c)95°
d)90°

The measure of largest exterior angle is 105°

Step-by-step explanation:

We know that, the sum of all interior angles of a hexagon  is 720°.

Given,

The measures of 5 of the interior angles of a hexagon are: 130°, 120°, 80°, 160°, and 155°.

Let x be the sixth interior angle.

⇒ 130° + 120° + 80° + 160° + 155° + x = 720°

⇒ x + 645° = 720°

⇒ x = 75°

Since, an exterior angle which is a linear pair of smallest interior angle must be largest.

Here, the smallest angle is 75°.

Thus, the largest exterior angle = 180° - 75° = 105°

13,000

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