Question

Find the measure of the sixth interior angle of a hexagon if the measure

of the other five interior angles are 80°, 90°, 130°, 130°, and 150°. (Show
all work)

Answer 1

Answer:140°

Step-by-step explanation: required equation : 180*(n-2)

since it is a hexagon, the sum of all interior angles=180*(6-2)

=180*4 =720°

now the measure of 6th angle=720 -(80+90+130+130+150)

= 720 -580

= 140

Answer 2

140°

Explanation:

The sum of interior angles of a n-agon is (n - 2) * 180°

a hexagon should have the sum of angles equal to

4 * 180° = 720°

Now we know that the other five angles have total measure

80° + 90° + 130° + 130° + 150° = 580°

So the sixth one has to be:

720° - 580° = 140°