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There are a number of theories: the ancient Babylonians counted in the sexagesimal system (counting in 60s). This was extended to 6*60 = 360, a number which was close to the number of days in the year. Also, 360 is divisible by 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20 etc which is convenient.
In any case, pure mathematicians do not measure angles in degrees - they use radians.
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What is the measure of the exterior angles of a pentagon?
The sum of the exterior angles of any polygon must be 360 degrees. Subject to that constraint, individual angles can have any measure between 0 and 360 degrees.
What polygon has angle measure that add up to 360 degrees?
The exterior angles of every polygon sum to 360 degrees. The interior angles of every quadrilateral sum to 360 degrees.
What is the total angle measure of a nonagon?
Exterior angles 360 degrees Interior angles 1260 degrees
Total measure of exterior angles of a heptagon?
360 degrees
What is the sum of the measure of the angles of a decagon?
Interior angles add up to 1440 degrees Exterior angles add up to 360 degrees
What is the total angle measure of a quadrilaterial?
Interior angles = 360 degrees Exterior angles = 360 degrees
Sum of measure of angles in a trapezoid?
360 degrees.
What is the sum of the measure of the angles of a quadrilateral?
360 degrees
What is the measure of the exterior angles of a pentagon?
The sum of the exterior angles of any polygon must be 360 degrees. Subject to that constraint, individual angles can have any measure between 0 and 360 degrees.
What polygon has angle measure that add up to 360 degrees?
The exterior angles of every polygon sum to 360 degrees. The interior angles of every quadrilateral sum to 360 degrees.
What is the total angle measure of a nonagon?
Exterior angles 360 degrees Interior angles 1260 degrees
Total measure of exterior angles of a heptagon?
360 degrees
What is the total measure of interior angles of a parallogram?
360 degrees
If four angles of a hexagon measure 53 degrees 126 degrees and 117 degrees what is the sum of the measure of the other two angles?
64 degrees because the total of the angles has to equal 360 degrees for it to be a hexagon.
What is the measure of the sum of angles in a rhombus?
The sum of the four interior angles is 360 degrees.
What are the measure of angles of a Triangle?
Interior angles add up to 180 degrees Exterior angles add up to 360 degrees
What is the sum of the measure of the angles of a decagon?
Interior angles add up to 1440 degrees Exterior angles add up to 360 degrees
