Open traverse ABCDEFGH, deflection angles

The bearing of the last line, computed from the first bearing and the observed deflection angles, is compared with its observed bearing. Right deflection is taken as $+$ and left as $-$.

Rule (deflection angles): $\text{FB of next line} = \text{FB of previous line} \pm \text{deflection}$, with $+$ for a right deflection and $-$ for a left deflection.

Step 1: Bearings computed from the observed angles

Computed FB of GH = 64°00′; observed FB of GH = 63°00′ (given directly).

Step 2: Angular misclosure

$$\text{Misclosure} = \text{observed} - \text{computed} = 63^\circ 00' - 64^\circ 00' = -1^\circ 00'$$

The computed and observed bearings do not agree, so the deflection angles are not correct. The misclosure of −1°00′ is distributed equally among the 6 angles (−10′ each).

Step 3: Adjustment

Correction per angle = −1°00′ / 6 = −0°10′. The correction to a line is −0°10′ multiplied by the number of angles used to reach it.

Check: the corrected FB of the last line equals the observed value 63°00′.

Corrected deflection angles

The correction of −10′ is applied to each signed deflection angle (right $+$, left $-$), so a right deflection becomes 10′ smaller and a left deflection 10′ larger.

Answer: misclosure = −1°00′ (observations not correct). Corrected bearings: AB 81°45′, BC 107°05′, CD 69°10′, DE 114°15′, EF 58°35′, FG 343°10′, GH 63°00′.