It depends on if it is a 5 point, 6 point, or some other.
The answer depends on which angle is 39 degrees.
A regular star with n points has 2 interior angles of which n are acute and n are reflex.
the degree of a rotaiton of a star is 37 degrees
Sextants
If one of its exterior angles is 30 degrees, then it is a star with 6 points and 12 sides. 360 degrees / 30 degrees = 12 angles It is a regular dodecahedron.
the answer is 5 each tip of the star is a acute angle and each angle on the inside of the star is an obtuse angle. there are 5 obtuse angles and no right angles.
The answer depends on which angle is 39 degrees.
The dent angle of a star polygon is the angle formed by the bent line between two points that form the point angles. I found a PDF that defines the way to calculate that dent angle and checked it out with a know star. It works: For a star polygon with n points and 2n congruent sides and a point angle of A: the dent angle B = (360/n) + A So for an 8 pointed star with a point angle of 20 degrees, the formula says: (360/8) + 20 = 65 degrees Note that if the point angle is 135 degrees it is really no longer a star polygon because the two (otherwise bent) line between each of the 8 point becomes 180 degrees. The above formula also proves that Equally for an 8 pointed star polygon formed by joining each second point (forming two over lapped squares, the resultant dent angle becomes 135 degrees. Again the formula confirms that angle. Two home-runs feels pretty good! The URL reference is: teach.valdosta.edu/plmoch/MATH3162/Spring%202009/11-3.pdf
need more context...
I believe it dates back to when the North Star was used to find latitude by ancient sailors. Degrees latitude was found by the angle between the North Star and the horizon. Since the North Star sits on the horizon at the equator the angle is zero therefore latitude is zero degrees.
The North star will be 75 degrees above the horizon. Whatever degree you are at latitude, the North star will be the same degrees up. So at the north pole (90 degrees north), the star will be at the zenith (straight up). While at the equator (0 degrees north) the star will be at the horizon.
The angle between the north star and the horizon is roughly your position in degrees latitude.For example, look at the North Star and point one arm straight at it, and then hold your other arm level with the horizon. The angle between your arms is roughly the degrees of latitude of your location.
Seattle's latitude is about 47.6 degrees North. So the altitude of Polaris above the northern horizon is always within about 1/3 degree of that angle as seen from there.
Declination, which is measured as an angle, north is positive and south is negative. The declination of a star etc. is also the latitude at which the star passes overhead.
Almost . . ."Altitude" is the apparent angle of the object above the horizon.
138
Short answer: 72 degrees Longer answer: To rotate a star until it looks the same you need to make 1/5 of a complete 360 degree turn (since a star has 5 points). Sice 1/5 X 360 = 72, the answer is 72 degree angle rotation.