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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.

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Q: Why do we use 360 when measuring angles?
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What is the instrument use in measuring angles?

a protractor


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To use a protractor effectively for measuring angles accurately, place the center of the protractor on the vertex of the angle. Align one side of the angle with the 0-degree mark on the protractor. Read the measurement where the other side of the angle intersects the protractor. Make sure to use the correct scale (either 180 degrees or 360 degrees) based on the type of angle you are measuring.


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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.


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Angles are measured using a protractor


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