Regular polygons the ratio of the sids of regular polygon is 4:5 and the ratio of the angles of that poligon is 15:16 find the number of sides......?

Lots and lots and lots. When you think the angle is nearly 180 degrees or a straight line, it must have lots and lots of sides.

The total of the interior angles of a polygon is given by (n-2)180, so the angle of each interior angle of a regular polygon is given by ((n-2)180)/n.

Now we set this to be equal to 176 and solve for n.
(n-2)180 = 176
-----------
n

Multiplying both sides by n, we get (n-2) 180 = 176n

Expanding the left side of the equation, 180n - 360 = 176n

Subtracting 176n from both sides and adding 360 to both sides, we get

180n - 176n = 360

4n = 360

Dividing both sides by 4, n = 90

Thus, you need a regular polygon of 90 sides to get an internal angle of 176 degrees.

Hopefully you don't have to construct it.

Good luck,

Paul

NINETY (90) sides

Lots and lots and lots. When you think the angle is nearly 180 degrees or a straight line, it must have lots and lots of sides.

The total of the interior angles of a polygon is given by (n-2)180, so the angle of each interior angle of a regular polygon is given by ((n-2)180)/n.

Now we set this to be equal to 176 and solve for n.
(n-2)180 = 176
-----------
n

Multiplying both sides by n, we get (n-2) 180 = 176n

Expanding the left side of the equation, 180n - 360 = 176n

Subtracting 176n from both sides and adding 360 to both sides, we get

180n - 176n = 360

4n = 360

Dividing both sides by 4, n = 90

Thus, you need a regular polygon of 90 sides to get an internal angle of 176 degrees.

Hopefully you don't have to construct it.

Good luck,

Paul

180(n-2)=n*144 in our case
solving for n we obtain:
36n = 360
n=10 sides
CHECK!!!!!!!!!!!!!!!!!!!

My interpretation is that your parrot went out for a cracker and hence Poly is Gone

Try this link.

Polygon Wikipedia the free encyclopedia

Polygons

Wolfram MathWorld The Web Most Extensive Mathematics Resource

A square - but the "no angles" is the clincher. Unless (4) 90 degree angles aren't considered angles.

Polygon Wikipedia the free encyclopedia

This works for any polygon:

Say you have 2 squares - the sides are 5 and 9
Perimeter 1 = 20
Perimeter 2 = 36

20:36 = 5:9

What follows is true for CONVEX polygons.
Let n be the number of sides of a convex polygon, and let n be greater than or equal to 4, then
The number of diagonals is given by n*(n-3)/2
Using this rule, write n*(n-3)/2=20. Clear the fraction, open brackets. You end up with n^2-3n-40=0.
Factor the polynomial or use the formulas for the quadratic equation to find the roots as n=-5 or n=8. Discard the negative root because n must be positive.

A convex polygon is one with each of its interior angles less than 180 degrees and every line segment between any of its two vertices remains inside or on the boundary of the polygon.

Example of a convex polygon (WIKIPEDIA)


A concave polygon will always possess an interior angle with a measure that is greater than 180 degrees.

Example of a concave polygon (WIKIPEDIA)

SC-320 Polygon mirror motor error:
Symptom: Did not detect lock signal from
polygon mirror motor within 10
seconds after motor ON signal;
or, lost lock signal for
continuous 1.5 seconds after
signal was detected.
Cause:
1.Polygon mirror motor (or harness)
defective
2.FCU defective

P.S. Remove LSU. Turn out poligon mirror.
Clean & lubricate.