A 7 sided polygon has 6 interior angles of 125 degrees. Find the remaining interior angle

Any polygon's total angle can be found by the formula (v - 2) * 180, where v is the number of vertices.

In your problem, we have a 7-sided polygon, so v = 7. The total angle is 900. The 6 interior angles of 125 sums to a total of 750, so the seventh, unknown angle is 900 - 750 = 150 degrees.

june 12,2009

1.what is the measure of a

Well, let me do some math, or as clowns call it, "fun with numbers."

To find the total sum of interior angles in a 7-sided polygon, we can use the formula:

Sum of Interior Angles = (n - 2) * 180

So, for a 7-sided polygon, the sum of its interior angles would be:

(7 - 2) * 180 = 5 * 180 = 900 degrees

Now, since we already know that 6 of the interior angles are 125 degrees each, we can find the remaining angle by subtracting the sum of those 6 angles from the total sum:

900 degrees - (6 * 125 degrees) = 900 degrees - 750 degrees = 150 degrees

Therefore, the remaining interior angle of the 7-sided polygon is 150 degrees. It must be having too much fun on its own!

To find the remaining interior angle of a polygon, we need to use the formula:

Sum of interior angles = (n - 2) * 180 degrees,

where n is the number of sides of the polygon.

In this case, we have a 7-sided polygon, so n = 7.

Sum of interior angles = (7 - 2) * 180 degrees = 5 * 180 degrees = 900 degrees.

We are given that 6 interior angles of the polygon are 125 degrees each, which means they add up to 6 * 125 degrees = 750 degrees.

To find the remaining interior angle, we subtract the sum of the given angles from the sum of all the interior angles.

Remaining interior angle = Sum of interior angles - Sum of given angles = 900 degrees - 750 degrees = 150 degrees.

Therefore, the remaining interior angle of the 7-sided polygon is 150 degrees.