SOLUTION: Find the measure of an angle with measure between 0° and 360° that is coterminal with an angle measuring 800°.
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Question 1158103: Find the measure of an angle with measure between 0° and 360° that is coterminal with an angle measuring 800°. Found 2 solutions by mananth, jim_thompson5910:Answer by mananth(16946) (Show Source):
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Find the measure of an angle with measure between 0° and 360° that is co-terminal with an angle measuring 800°
co terminal angles sum up to 360 or multiples of 360
360, 720, 1080, 1440 etc
800 +280 = 1080 (280)
Explanation:
Since 800 is larger than 360, we subtract off 360 to get
800-360 = 440
which is still too large. Again we subtract off another 360
440-360 = 80
and we're now in range between 0 and 360
The angles 80 degrees and 800 degrees point in the same direction, so they are coterminal angles.