The ancient Greeks used base 6 numbers and thought that the number 6 had some kind of power. This thinking was backed up by the number of days in a year. When the Ancients went about measuring the year, they watched the sun set each day over the horizon. Where it set, it would be marked on a circle. After a while, they noticed that about 360 of these evenly spaced marks would fill up a circle. Any rounding error is because of the power of the number 6 and 6*6=36 and so this was special too and the number of degrees of a circle became 360. 360/24=15degrees => the earth turns 15 degrees in an hour 60 seconds a minute, 60 minutes an hour => 3600 seconds and hour This is also why angles are measure by degrees (o), minutes ('), and seconds ("). 360 degrees is an arbitrary number that (roughly) matches the length of the year by chance. Gradients are another measurement of angle defined as there being 100 (an arbitrary number based on our number system) Gradients in a circle. A better mathematical measurement of angles is radians. There are pi~3.141 radians in a circle.
For angles between 90 and 180 use the angle (180 - X) For angles between 180 and 270 use (X - 180) For angles between 270 and 360 use (360 - X) For angles greater than 360 subtract 360 until the angle is between 0 and 360 degrees and one of the above rules can be applied. You need to be careful with the signs of the ratios.
by measuring it:)5
The sum of the interior angles is 360 and the sum of the exteriors is 360 also.
360°The 4 interior angles add up to 360 degreesThe 4 exterior angles also add up to 360 degrees
The exterior angles of a polygon add up to 360 degrees.
a protractor
The angle must be somewhere between zero and 360 degrees.
To measure Angles, Process of Measuring Horizontal and vertical Angles
The sum of the internal angles in a parallelogram is 360 degrees. Since there are two equal pairs of angles measuring the same, then each of the second pair of angles is equal to (360 - (35 x 2)) / 2 = 145 degrees.
For angles between 90 and 180 use the angle (180 - X) For angles between 180 and 270 use (X - 180) For angles between 270 and 360 use (360 - X) For angles greater than 360 subtract 360 until the angle is between 0 and 360 degrees and one of the above rules can be applied. You need to be careful with the signs of the ratios.
Angles are measured using a protractor
The degrees of a square is 360 degrees. A square has four equal angles, each measuring 90 degrees.
A regular polygon with interior angles measuring 165 degrees each will have exterior angles measuring 15 degrees each, since each pair of interior/exterior angles forms a linear pair whose measures total 180 degrees. For any polygon, the sum of the exterior angles is 360 degrees. You can find how many sides, and therefore vertices, in the polygon by dividing 360 by 15. In this case, the polygon has 360/15 = 24 sides.
If both angles are 180, their sum is 360!If both angles are 180, their sum is 360!If both angles are 180, their sum is 360!If both angles are 180, their sum is 360!
A protractor is the most accurate way of measuring angles.
by measuring it:)5
The formula for the angles of a regular n-gon is 180(n-2)/n. If 180(n-2)/n = 144 then 180n-360 = 144n so 36n = 360 and n=10. This means that a regular decagon has angles measuring 144 degrees.