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SOLUTION
Given the question in the question tab, the following are the solution steps to find the angle of least positive measure.
Step 1: Define the concept of least positive measure
Coterminal angles are those angles that share the terminal side of an angle occupying the standard position. The question is asking for the least positive coterminal angle, so you must add or subtract until you reach a positive angle that is between 0 and 360 degrees.
Step 2: Find the angle of least positive meausre of 1313
To find the coterminal angles to your given angle, you need to add or subtract a multiple of 360°. Since the given angle is positive, we can get the required angle by finding:
[tex]1313\mod 360[/tex]Or we keep subtracting 360 from 1313 until we have a positive value less than 360.
Step 3: We use the modulo method
It can be seen that 1313 mod 360 will give 233. i.e,
[tex]\frac{1313}{360}=3\text{ remainder 233}[/tex]This implies that 1313 contains 3 complete revolutions and additional 233 degrees.
Hence, 233 is the angle of least positive measure.
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