For Urban and Subdivision Property Surveys Category I, what is the angular closure limit?

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Angular closure limit measures how much the measured directions in a closed traverse may misclose the theoretical angle sum and still be acceptable. In Urban and Subdivision Property Surveys Category I, that allowable misclosure grows with the number of angles turned, but only as the square root of that number. The standard is 15 seconds of arc times the square root of the number of angles turned. This reflects how random angular measurement errors accumulate roughly in proportion to the square root of how many angles are observed, not linearly with the count. So for a traverse with n angles, the angular misclosure must not exceed 15" × sqrt(n). For example, with 9 angles the limit is 45", and with 16 angles it’s 60". This is why 15 seconds of arc times the square root of the number of angles turned is the correct limit.